107656 has 8 divisors (see below), whose sum is σ = 201870. Its totient is φ = 53824.

The previous prime is 107647. The next prime is 107671. The reversal of 107656 is 656701.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 52900 = 234^2 + 230^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 107656.

It is an unprimeable number.

107656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6721 + ... + 6736.

2¹⁰⁷⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

107656 is a deficient number, since it is larger than the sum of its proper divisors (94214).

107656 is a wasteful number, since it uses less digits than its factorization.

107656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 107656 is about 328.1097377403. The cubic root of 107656 is about 47.5714161180.

The spelling of 107656 in words is "one hundred seven thousand, six hundred fifty-six".