100579905 has 24 divisors (see below), whose sum is σ = 184595112. Its totient is φ = 50486784.

The previous prime is 100579883. The next prime is 100579909. The reversal of 100579905 is 509975001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48566961 + 52012944 = 6969^2 + 7212^2 .

It is not a de Polignac number, because 100579905 - 2⁹ = 100579393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100579905.

It is not an unprimeable number, because it can be changed into a prime (100579909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64974 + ... + 66503.

It is an arithmetic number, because the mean of its divisors is an integer number (7691463).

Almost surely, 2^100579905 is an apocalyptic number.

100579905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100579905 is a deficient number, since it is larger than the sum of its proper divisors (84015207).

100579905 is a wasteful number, since it uses less digits than its factorization.

100579905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131505 (or 131502 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 100579905 is about 10028.9533352190. The cubic root of 100579905 is about 465.0543814304.

The spelling of 100579905 in words is "one hundred million, five hundred seventy-nine thousand, nine hundred five".