100632 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 28704.

The previous prime is 100621. The next prime is 100649. The reversal of 100632 is 236001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

100632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁰⁰⁶³² is an apocalyptic number.

100632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100632 is an abundant number, since it is smaller than the sum of its proper divisors (187368).

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

100632 is a wasteful number, since it uses less digits than its factorization.

100632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100632 is about 317.2254718650. The cubic root of 100632 is about 46.5134658654.

Adding to 100632 its reverse (236001), we get a palindrome (336633).

The spelling of 100632 in words is "one hundred thousand, six hundred thirty-two".