107652 has 12 divisors (see below), whose sum is σ = 251216. Its totient is φ = 35880.

The previous prime is 107647. The next prime is 107671. The reversal of 107652 is 256701.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is an unprimeable number.

107652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4474 + ... + 4497.

2¹⁰⁷⁶⁵² is an apocalyptic number.

107652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107652 is an abundant number, since it is smaller than the sum of its proper divisors (143564).

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

107652 is a wasteful number, since it uses less digits than its factorization.

107652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107652 is about 328.1036421620. The cubic root of 107652 is about 47.5708269326.

It can be divided in two parts, 1076 and 52, that added together give a triangular number (1128 = T₄₇).

The spelling of 107652 in words is "one hundred seven thousand, six hundred fifty-two".