105656 has 16 divisors (see below), whose sum is σ = 203040. Its totient is φ = 51520.

The previous prime is 105653. The next prime is 105667. The reversal of 105656 is 656501.

It is a super-2 number, since 2×105656² = 22326380672, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (12690).

2¹⁰⁵⁶⁵⁶ is an apocalyptic number.

105656 is the 188-th octagonal number.

It is an amenable number.

105656 is a deficient number, since it is larger than the sum of its proper divisors (97384).

105656 is a wasteful number, since it uses less digits than its factorization.

105656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105656 is about 325.0476888089. The cubic root of 105656 is about 47.2749837546.

The spelling of 105656 in words is "one hundred five thousand, six hundred fifty-six".