104352624 has 100 divisors (see below), whose sum is σ = 306441696. Its totient is φ = 34276608.

The previous prime is 104352623. The next prime is 104352649. The reversal of 104352624 is 426253401.

104352624 is a `hidden beast` number, since 1 + 0 + 4 + 35 + 2 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104352623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94057 + ... + 95159.

Almost surely, 2^104352624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104352624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153220848).

104352624 is an abundant number, since it is smaller than the sum of its proper divisors (202089072).

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

104352624 is a wasteful number, since it uses less digits than its factorization.

104352624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 104352624 is about 10215.3132110572. The cubic root of 104352624 is about 470.7978360757.

It can be divided in two parts, 104352 and 624, that added together give a 4-th power (104976 = 18⁴).

The spelling of 104352624 in words is "one hundred four million, three hundred fifty-two thousand, six hundred twenty-four".