108421 (number)
108,421 (one hundred eight thousand four hundred twentyone) is an odd sixdigits prime number following 108420 and preceding 108422. In scientific notation, it is written as 1.08421 × 10^{5}. The sum of its digits is 16. It has a total of 1 prime factor and 2 positive divisors. There are 108,420 positive integers (up to 108421) that are relatively prime to 108421.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 16
 Digital Root 7
Name
Short name  108 thousand 421 

Full name  one hundred eight thousand four hundred twentyone 
Notation
Scientific notation  1.08421 × 10^{5} 

Engineering notation  108.421 × 10^{3} 
Prime Factorization of 108421
Prime Factorization 108421
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  108421  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.593777076162  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 108,421 is 108421. Since it has a total of 1 prime factor, 108,421 is a prime number.
Divisors of 108421
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  108422  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  54211  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  329.27344259749  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999815535592  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 108,421 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 108,421) is 108,422, the average is 54,211.
Other Arithmetic Functions (n = 108421)
φ(n)  Euler Totient  108420  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  108420  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10289  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 108,420 positive integers (less than 108,421) that are coprime with 108,421. And there are approximately 10,289 prime numbers less than or equal to 108,421.
Divisibility of 108421
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  5  5  7 
108,421 is not divisible by any number less than or equal to 9.
Classification of 108421
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (108421)
Base  System  Value 

2  Binary  11010011110000101 
3  Ternary  12111201121 
4  Quaternary  122132011 
5  Quinary  11432141 
6  Senary  2153541 
8  Octal  323605 
10  Decimal  108421 
12  Duodecimal  528b1 
16  Hexadecimal  1a785 
20  Vigesimal  db11 
36  Base36  2bnp 
Basic calculations (n = 108421)
Multiplication
n×yn×2  216842 

n×3  325263 
n×4  433684 
n×5  542105 
Division
n÷yn÷2  54210.500 

n÷3  36140.333 
n÷4  27105.250 
n÷5  21684.200 
Exponentiation
n^{y}n^{2}  11755113241 

n^{3}  1274501132702461 
n^{4}  138182687308733524081 
n^{5}  14981905140700197414386101 
Nth Root
^{y}√n^{2}√n  329.27344259749 

^{3}√n  47.683830572612 
^{4}√n  18.145893270861 
^{5}√n  10.163017694579 
108421 as geometric shapes
Circle
Radius = nDiameter  216842 

Circumference  681229.23418972 
Area  36929777400.042 
Sphere
Radius = nVolume  5.3386178606532E+15 

Surface area  147719109600.17 
Circumference  681229.23418972 
Square
Length = nPerimeter  433684 

Area  11755113241 
Diagonal  153330.44864605 
Cube
Length = nSurface area  70530679446 

Volume  1274501132702461 
Space diagonal  187790.68060743 
Equilateral Triangle
Length = nPerimeter  325263 

Area  5090113345.5344 
Altitude  93895.340303713 
Triangular Pyramid
Length = nSurface area  20360453382.138 

Volume  1.5020139892731E+14 
Height  88525.375800765 
Cryptographic Hash Functions
md5  ab614a087c2e8af7160d28156116307f 

sha1  02d132466b08ae7c7891f56b34d10df26390123d 
sha256  b8c730fd041410880aa27b23fa71e033a844c6753dbe4cdcce47630919ffbbdd 
sha512  64ee0eac992dd5d14118ed20dfcaed9bf3f18ec72d766b2def332b8aa4802c6eda0f03647a0b7031c7359dc01f8c5e8153761d0d9152e19e8fe4b9af8ccf90c6 
ripemd160  8a11a7e860a2b5ef3b5d8b3ad327c17744c9f5b8 