100132100 has 18 divisors (see below), whose sum is σ = 217286874. Its totient is φ = 40052800.

The previous prime is 100132073. The next prime is 100132111. The reversal of 100132100 is 1231001.

It can be written as a sum of positive squares in 3 ways, for example, as 611524 + 99520576 = 782^2 + 9976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500561 + ... + 500760.

It is an arithmetic number, because the mean of its divisors is an integer number (12071493).

Almost surely, 2^100132100 is an apocalyptic number.

100132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132100 is an abundant number, since it is smaller than the sum of its proper divisors (117154774).

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

100132100 is a wasteful number, since it uses less digits than its factorization.

100132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001335 (or 1001328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100132100 is about 10006.6028201383. The cubic root of 100132100 is about 464.3631780582.

Adding to 100132100 its reverse (1231001), we get a palindrome (101363101).

The spelling of 100132100 in words is "one hundred million, one hundred thirty-two thousand, one hundred".