104644656 has 80 divisors (see below), whose sum is σ = 318060000. Its totient is φ = 32827392.

The previous prime is 104644649. The next prime is 104644663. The reversal of 104644656 is 656446401.

104644656 is a `hidden beast` number, since 1 + 0 + 4 + 644 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (104644649) and next prime (104644663).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104644656.

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, 220 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2^104644656 is an apocalyptic number.

104644656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104644656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030000).

104644656 is an abundant number, since it is smaller than the sum of its proper divisors (213415344).

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

104644656 is a wasteful number, since it uses less digits than its factorization.

104644656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14283 (or 14271 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 104644656 is about 10229.5970595131. The cubic root of 104644656 is about 471.2366047221.

The spelling of 104644656 in words is "one hundred four million, six hundred forty-four thousand, six hundred fifty-six".