105752 has 8 divisors (see below), whose sum is σ = 198300. Its totient is φ = 52872.

The previous prime is 105751. The next prime is 105761. The reversal of 105752 is 257501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105752² = 22366971008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602 + ... + 6617.

2¹⁰⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

105752 is a deficient number, since it is larger than the sum of its proper divisors (92548).

105752 is a wasteful number, since it uses less digits than its factorization.

105752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13225 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105752 is about 325.1953259197. The cubic root of 105752 is about 47.2892975799.

The spelling of 105752 in words is "one hundred five thousand, seven hundred fifty-two".