107956 has 12 divisors (see below), whose sum is σ = 191268. Its totient is φ = 53312.

The previous prime is 107951. The next prime is 107971. The reversal of 107956 is 659701.

It is a happy number.

107956 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 17956 = 300^2 + 134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107951) 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, 450 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (15939).

2¹⁰⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

107956 is a deficient number, since it is larger than the sum of its proper divisors (83312).

107956 is a wasteful number, since it uses less digits than its factorization.

107956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 107956 is about 328.5665838152. The cubic root of 107956 is about 47.6155634911.

It can be divided in two parts, 10795 and 6, that added together give a palindrome (10801).

The spelling of 107956 in words is "one hundred seven thousand, nine hundred fifty-six".