107532 has 36 divisors (see below), whose sum is σ = 283920. Its totient is φ = 34272.

The previous prime is 107509. The next prime is 107563. The reversal of 107532 is 235701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993 + ... + 1095.

2¹⁰⁷⁵³² is an apocalyptic number.

107532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141960).

107532 is an abundant number, since it is smaller than the sum of its proper divisors (176388).

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

107532 is a wasteful number, since it uses less digits than its factorization.

107532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 107532 is about 327.9207221266. The cubic root of 107532 is about 47.5531445807.

The spelling of 107532 in words is "one hundred seven thousand, five hundred thirty-two".