105976 has 16 divisors (see below), whose sum is σ = 214200. Its totient is φ = 48864.

The previous prime is 105971. The next prime is 105977. The reversal of 105976 is 679501.

It is a happy number.

It is a super-2 number, since 2×105976² = 22461825152, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 406 + ... + 613.

2¹⁰⁵⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

105976 is an abundant number, since it is smaller than the sum of its proper divisors (108224).

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

105976 is a wasteful number, since it uses less digits than its factorization.

105976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

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

The square root of 105976 is about 325.5395521285. The cubic root of 105976 is about 47.3226628507.

It can be divided in two parts, 105 and 976, that added together give a triangular number (1081 = T₄₆).

The spelling of 105976 in words is "one hundred five thousand, nine hundred seventy-six".