104652864 has 112 divisors (see below), whose sum is σ = 312359040. Its totient is φ = 34352640.

The previous prime is 104652859. The next prime is 104652871. The reversal of 104652864 is 468256401.

It is a super-3 number, since 3×104652864³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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, 122262 + ... + 123114.

It is an arithmetic number, because the mean of its divisors is an integer number (2788920).

Almost surely, 2^104652864 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 104652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156179520).

104652864 is an abundant number, since it is smaller than the sum of its proper divisors (207706176).

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

104652864 is an equidigital number, since it uses as much as digits as its factorization.

104652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 104652864 is about 10229.9982404691. The cubic root of 104652864 is about 471.2489251758.

Adding to 104652864 its sum of digits (36), we get a square (104652900 = 10230²).

The spelling of 104652864 in words is "one hundred four million, six hundred fifty-two thousand, eight hundred sixty-four".