105772 has 12 divisors (see below), whose sum is σ = 191296. Its totient is φ = 51120.

The previous prime is 105769. The next prime is 105817. The reversal of 105772 is 277501.

It is a super-2 number, since 2×105772² = 22375431968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303 + ... + 550.

2¹⁰⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

105772 is a deficient number, since it is larger than the sum of its proper divisors (85524).

105772 is a wasteful number, since it uses less digits than its factorization.

105772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 105772 is about 325.2260752154. The cubic root of 105772 is about 47.2922785364.

The spelling of 105772 in words is "one hundred five thousand, seven hundred seventy-two".