100113440300 has 72 divisors (see below), whose sum is σ = 230254637760. Its totient is φ = 37652198400.

The previous prime is 100113440299. The next prime is 100113440369. The reversal of 100113440300 is 3044311001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706861 + ... + 1764539.

It is an arithmetic number, because the mean of its divisors is an integer number (3197981080).

Almost surely, 2^100113440300 is an apocalyptic number.

100113440300 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 100113440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115127318880).

100113440300 is an abundant number, since it is smaller than the sum of its proper divisors (130141197460).

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

100113440300 is a wasteful number, since it uses less digits than its factorization.

100113440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58731 (or 58724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100113440300 its reverse (3044311001), we get a palindrome (103157751301).

The spelling of 100113440300 in words is "one hundred billion, one hundred thirteen million, four hundred forty thousand, three hundred".