132162100 has 108 divisors (see below), whose sum is σ = 346581984. Its totient is φ = 42845760.

The previous prime is 132162067. The next prime is 132162127. The reversal of 132162100 is 1261231.

132162100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252439 + ... + 252961.

Almost surely, 2^132162100 is an apocalyptic number.

132162100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132162100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173290992).

132162100 is an abundant number, since it is smaller than the sum of its proper divisors (214419884).

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

132162100 is a wasteful number, since it uses less digits than its factorization.

132162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 132162100 is about 11496.1776256284. The cubic root of 132162100 is about 509.3726747858.

The spelling of 132162100 in words is "one hundred thirty-two million, one hundred sixty-two thousand, one hundred".