100931904 has 42 divisors (see below), whose sum is σ = 289304730. Its totient is φ = 33643776.

The previous prime is 100931891. The next prime is 100931911. The reversal of 100931904 is 409139001.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 20793600 = 8952^2 + 4560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87039 + ... + 88190.

Almost surely, 2^100931904 is an apocalyptic number.

It is an amenable number.

100931904 is an abundant number, since it is smaller than the sum of its proper divisors (188372826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100931904 is a wasteful number, since it uses less digits than its factorization.

100931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175247 (or 175234 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100931904 is about 10046.4871472570. The cubic root of 100931904 is about 465.5962659565.

The spelling of 100931904 in words is "one hundred million, nine hundred thirty-one thousand, nine hundred four".