320132100 has 144 divisors (see below), whose sum is σ = 1005310656. Its totient is φ = 78336000.

The previous prime is 320132089. The next prime is 320132129. The reversal of 320132100 is 1231023.

It is a happy number.

It is a super-2 number, since 2×320132100² = 204969122900820000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208335 + ... + 209865.

It is an arithmetic number, because the mean of its divisors is an integer number (6981324).

Almost surely, 2^320132100 is an apocalyptic number.

320132100 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 320132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502655328).

320132100 is an abundant number, since it is smaller than the sum of its proper divisors (685178556).

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

320132100 is a wasteful number, since it uses less digits than its factorization.

320132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

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

The square root of 320132100 is about 17892.2357462672. The cubic root of 320132100 is about 684.0844856484.

Adding to 320132100 its reverse (1231023), we get a palindrome (321363123).

The spelling of 320132100 in words is "three hundred twenty million, one hundred thirty-two thousand, one hundred".