100132300320 has 192 divisors, whose sum is σ = 345249402624. Its totient is φ = 24243793920.

The previous prime is 100132300283. The next prime is 100132300357. The reversal of 100132300320 is 23003231001.

It is an interprime number because it is at equal distance from previous prime (100132300283) and next prime (100132300357).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100132300320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249109 + ... + 512171.

It is an arithmetic number, because the mean of its divisors is an integer number (1798173972).

Almost surely, 2^100132300320 is an apocalyptic number.

100132300320 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 100132300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172624701312).

100132300320 is an abundant number, since it is smaller than the sum of its proper divisors (245117102304).

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

100132300320 is a wasteful number, since it uses less digits than its factorization.

100132300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263155 (or 263147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100132300320 its reverse (23003231001), we get a palindrome (123135531321).

The spelling of 100132300320 in words is "one hundred billion, one hundred thirty-two million, three hundred thousand, three hundred twenty".