100832 has 24 divisors (see below), whose sum is σ = 208656. Its totient is φ = 47872.

The previous prime is 100829. The next prime is 100847. The reversal of 100832 is 238001.

It is a congruent number.

It is an unprimeable number.

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, 668 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (8694).

2¹⁰⁰⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328).

100832 is an abundant number, since it is smaller than the sum of its proper divisors (107824).

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

100832 is a wasteful number, since it uses less digits than its factorization.

100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100832 is about 317.5405485918. The cubic root of 100832 is about 46.5442597054.

Adding to 100832 its reverse (238001), we get a palindrome (338833).

The spelling of 100832 in words is "one hundred thousand, eight hundred thirty-two".