102032 has 20 divisors (see below), whose sum is σ = 226176. Its totient is φ = 43680.

The previous prime is 102031. The next prime is 102043. The reversal of 102032 is 230201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102032.

It is not an unprimeable number, because it can be changed into a prime (102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344 + ... + 567.

2¹⁰²⁰³² is an apocalyptic number.

It is an amenable number.

102032 is an abundant number, since it is smaller than the sum of its proper divisors (124144).

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

102032 is an equidigital number, since it uses as much as digits as its factorization.

102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 102032 is about 319.4244824681. The cubic root of 102032 is about 46.7281728681.

Adding to 102032 its reverse (230201), we get a palindrome (332233).

It can be divided in two parts, 1020 and 32, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 102032 in words is "one hundred two thousand, thirty-two".