100904408 has 32 divisors (see below), whose sum is σ = 206781120. Its totient is φ = 45780000.

The previous prime is 100904407. The next prime is 100904413. The reversal of 100904408 is 804409001.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100904407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91943 + ... + 93033.

It is an arithmetic number, because the mean of its divisors is an integer number (6461910).

Almost surely, 2^100904408 is an apocalyptic number.

It is an amenable number.

100904408 is an abundant number, since it is smaller than the sum of its proper divisors (105876712).

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

100904408 is a wasteful number, since it uses less digits than its factorization.

100904408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 100904408 is about 10045.1186155266. The cubic root of 100904408 is about 465.5539826708.

The spelling of 100904408 in words is "one hundred million, nine hundred four thousand, four hundred eight".