104857664 has 56 divisors (see below), whose sum is σ = 216027000. Its totient is φ = 50462720.

The previous prime is 104857639. The next prime is 104857681. The reversal of 104857664 is 466758401.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 104857600 = 8^2 + 10240^2 .

It is a hoax number, since the sum of its digits (41) 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 (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233312 + ... + 233760.

It is an arithmetic number, because the mean of its divisors is an integer number (3857625).

Almost surely, 2^104857664 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 104857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108013500).

104857664 is an abundant number, since it is smaller than the sum of its proper divisors (111169336).

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

104857664 is an equidigital number, since it uses as much as digits as its factorization.

104857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 104857664 is about 10240.0031249995. The cubic root of 104857664 is about 471.5561277643.

It can be divided in two parts, 1048576 and 64, that multiplied together give a 26-th power (67108864 = 2²⁶).

The spelling of 104857664 in words is "one hundred four million, eight hundred fifty-seven thousand, six hundred sixty-four".