100904832 has 256 divisors, whose sum is σ = 351859200. Its totient is φ = 27869184.

The previous prime is 100904827. The next prime is 100904849. The reversal of 100904832 is 238409001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100904796 and 100904805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040208 + ... + 1040304.

It is an arithmetic number, because the mean of its divisors is an integer number (1374450).

Almost surely, 2^100904832 is an apocalyptic number.

100904832 is a gapful number since it is divisible by the number (12) 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 100904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175929600).

100904832 is an abundant number, since it is smaller than the sum of its proper divisors (250954368).

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

100904832 is an equidigital number, since it uses as much as digits as its factorization.

100904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100904832 is about 10045.1397202826. The cubic root of 100904832 is about 465.5546347553.

The spelling of 100904832 in words is "one hundred million, nine hundred four thousand, eight hundred thirty-two".