105968 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 51264.

The previous prime is 105967. The next prime is 105971. The reversal of 105968 is 869501.

105968 = T₁₀₇ + T₁₀₈ + ... + T₁₂₂.

It is a super-2 number, since 2×105968² = 22458434048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105967) 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, 503 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

105968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105968 is a wasteful number, since it uses less digits than its factorization.

105968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105968 is about 325.5272646031. The cubic root of 105968 is about 47.3214720439.

The spelling of 105968 in words is "one hundred five thousand, nine hundred sixty-eight".