100332 has 24 divisors (see below), whose sum is σ = 260400. Its totient is φ = 33408.

The previous prime is 100313. The next prime is 100333. The reversal of 100332 is 233001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100332.

It is not an unprimeable number, because it can be changed into a prime (100333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2¹⁰⁰³³² is an apocalyptic number.

100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100332 is an abundant number, since it is smaller than the sum of its proper divisors (160068).

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

100332 is a wasteful number, since it uses less digits than its factorization.

100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100332 is about 316.7522691316. The cubic root of 100332 is about 46.4671985111.

Adding to 100332 its reverse (233001), we get a palindrome (333333).

It can be divided in two parts, 1003 and 32, that added together give a triangular number (1035 = T₄₅).

The spelling of 100332 in words is "one hundred thousand, three hundred thirty-two".