32130900 has 108 divisors (see below), whose sum is σ = 106069600. Its totient is φ = 8112960.

The previous prime is 32130899. The next prime is 32130913. The reversal of 32130900 is 903123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16161 + ... + 18039.

Almost surely, 2^32130900 is an apocalyptic number.

32130900 is a gapful number since it is divisible by the number (30) 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 32130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034800).

32130900 is an abundant number, since it is smaller than the sum of its proper divisors (73938700).

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

32130900 is a wasteful number, since it uses less digits than its factorization.

32130900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 32130900 is about 5668.4124761700. The cubic root of 32130900 is about 317.9125189529.

The spelling of 32130900 in words is "thirty-two million, one hundred thirty thousand, nine hundred".