104190624 has 72 divisors (see below), whose sum is σ = 307288800. Its totient is φ = 34727616.

The previous prime is 104190617. The next prime is 104190641. The reversal of 104190624 is 426091401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104190624² = 21711372259018752, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (4267900).

Almost surely, 2^104190624 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 104190624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153644400).

104190624 is an abundant number, since it is smaller than the sum of its proper divisors (203098176).

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

104190624 is an equidigital number, since it uses as much as digits as its factorization.

104190624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13404 counting only the distinct ones).

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

The square root of 104190624 is about 10207.3808589667. The cubic root of 104190624 is about 470.5540832176.

The spelling of 104190624 in words is "one hundred four million, one hundred ninety thousand, six hundred twenty-four".