105716 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 45792.

The previous prime is 105701. The next prime is 105727. The reversal of 105716 is 617501.

It is a super-2 number, since 2×105716² = 22351745312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰⁵⁷¹⁶ is an apocalyptic number.

It is an amenable number.

105716 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.

105716 is a wasteful number, since it uses less digits than its factorization.

105716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105716 is about 325.1399698591. The cubic root of 105716 is about 47.2839309110.

The spelling of 105716 in words is "one hundred five thousand, seven hundred sixteen".