102056656 has 80 divisors (see below), whose sum is σ = 222642000. Its totient is φ = 45010944.

The previous prime is 102056653. The next prime is 102056677. The reversal of 102056656 is 656650201.

It can be written as a sum of positive squares in 8 ways, for example, as 12110400 + 89946256 = 3480^2 + 9484^2 .

It is a super-2 number, since 2×102056656² = 20831122067804672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102056653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684870 + ... + 685018.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2^102056656 is an apocalyptic number.

102056656 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 102056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321000).

102056656 is an abundant number, since it is smaller than the sum of its proper divisors (120585344).

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

102056656 is a wasteful number, since it uses less digits than its factorization.

102056656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 102056656 is about 10102.3094389352. The cubic root of 102056656 is about 467.3193651425.

It can be divided in two parts, 10205 and 6656, that added together give a palindrome (16861).

The spelling of 102056656 in words is "one hundred two million, fifty-six thousand, six hundred fifty-six".