107752 has 8 divisors (see below), whose sum is σ = 202050. Its totient is φ = 53872.

The previous prime is 107747. The next prime is 107761. The reversal of 107752 is 257701.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 21316 = 294^2 + 146^2 .

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

It is a super-2 number, since 2×107752² = 23220987008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6727 + ... + 6742.

2¹⁰⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

107752 is a deficient number, since it is larger than the sum of its proper divisors (94298).

107752 is a wasteful number, since it uses less digits than its factorization.

107752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13475 (or 13471 counting only the distinct ones).

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

The square root of 107752 is about 328.2559976604. The cubic root of 107752 is about 47.5855521907.

The spelling of 107752 in words is "one hundred seven thousand, seven hundred fifty-two".