100032 has 28 divisors (see below), whose sum is σ = 265176. Its totient is φ = 33280.

The previous prime is 100019. The next prime is 100043. The reversal of 100032 is 230001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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, 69 + ... + 452.

2¹⁰⁰⁰³² is an apocalyptic number.

100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100032 is an abundant number, since it is smaller than the sum of its proper divisors (165144).

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

100032 is an equidigital number, since it uses as much as digits as its factorization.

100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 100032 is about 316.2783584123. The cubic root of 100032 is about 46.4208388362.

Adding to 100032 its reverse (230001), we get a palindrome (330033).

The spelling of 100032 in words is "one hundred thousand, thirty-two".