100132400 has 60 divisors (see below), whose sum is σ = 242125872. Its totient is φ = 39793920.

The previous prime is 100132399. The next prime is 100132411. The reversal of 100132400 is 4231001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68477 + ... + 69923.

Almost surely, 2^100132400 is an apocalyptic number.

100132400 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 100132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121062936).

100132400 is an abundant number, since it is smaller than the sum of its proper divisors (141993472).

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

100132400 is a wasteful number, since it uses less digits than its factorization.

100132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100132400 is about 10006.6178102294. The cubic root of 100132400 is about 464.3636418083.

Adding to 100132400 its reverse (4231001), we get a palindrome (104363401).

The spelling of 100132400 in words is "one hundred million, one hundred thirty-two thousand, four hundred".