104187564 has 72 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 30367872.

The previous prime is 104187553. The next prime is 104187599. The reversal of 104187564 is 465781401.

It is a happy number.

104187564 is a `hidden beast` number, since 10 + 4 + 1 + 87 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034 + ... + 14750.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^104187564 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 104187564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

104187564 is an abundant number, since it is smaller than the sum of its proper divisors (194387076).

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

104187564 is a wasteful number, since it uses less digits than its factorization.

104187564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11759 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 104187564 is about 10207.2309663297. The cubic root of 104187564 is about 470.5494765664.

The spelling of 104187564 in words is "one hundred four million, one hundred eighty-seven thousand, five hundred sixty-four".