100132500 has 180 divisors, whose sum is σ = 320147520. Its totient is φ = 24336000.

The previous prime is 100132493. The next prime is 100132517. The reversal of 100132500 is 5231001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1267461 + ... + 1267539.

Almost surely, 2^100132500 is an apocalyptic number.

100132500 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 100132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160073760).

100132500 is an abundant number, since it is smaller than the sum of its proper divisors (220015020).

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

100132500 is a wasteful number, since it uses less digits than its factorization.

100132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100132500 is about 10006.6228069214. The cubic root of 100132500 is about 464.3637963915.

Adding to 100132500 its reverse (5231001), we get a palindrome (105363501).

The spelling of 100132500 in words is "one hundred million, one hundred thirty-two thousand, five hundred".