104656 has 20 divisors (see below), whose sum is σ = 210304. Its totient is φ = 50400.

The previous prime is 104651. The next prime is 104659. The reversal of 104656 is 656401.

104656 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391 + ... + 601.

2¹⁰⁴⁶⁵⁶ is an apocalyptic number.

104656 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 104656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105152).

104656 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

104656 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 104656 = (614056)₇.

104656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 104656 is about 323.5057959295. The cubic root of 104656 is about 47.1253632236.

The spelling of 104656 in words is "one hundred four thousand, six hundred fifty-six".