104624832 has 112 divisors (see below), whose sum is σ = 301093632. Its totient is φ = 31872000.

The previous prime is 104624771. The next prime is 104624857. The reversal of 104624832 is 238426401.

It is a self number, because there is not a number n which added to its sum of digits gives 104624832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416707 + ... + 416957.

It is an arithmetic number, because the mean of its divisors is an integer number (2688336).

Almost surely, 2^104624832 is an apocalyptic number.

104624832 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 104624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

104624832 is an abundant number, since it is smaller than the sum of its proper divisors (196468800).

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

104624832 is a wasteful number, since it uses less digits than its factorization.

104624832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 104624832 is about 10228.6280604977. The cubic root of 104624832 is about 471.2068456474.

It can be divided in two parts, 1046 and 24832, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 104624832 in words is "one hundred four million, six hundred twenty-four thousand, eight hundred thirty-two".