100904109120 has 168 divisors, whose sum is σ = 347458101120. Its totient is φ = 26877527040.

The previous prime is 100904109107. The next prime is 100904109139. The reversal of 100904109120 is 21901409001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604451 + ... + 2642909.

Almost surely, 2^100904109120 is an apocalyptic number.

100904109120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100904109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173729050560).

100904109120 is an abundant number, since it is smaller than the sum of its proper divisors (246553992000).

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

100904109120 is a wasteful number, since it uses less digits than its factorization.

100904109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393 (or 39380 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 100904109120 in words is "one hundred billion, nine hundred four million, one hundred nine thousand, one hundred twenty".