100116007300 has 36 divisors (see below), whose sum is σ = 230031253620. Its totient is φ = 37690731520.

The previous prime is 100116007289. The next prime is 100116007307. The reversal of 100116007300 is 3700611001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 251159104 + 99864848196 = 15848^2 + 316014^2 .

It is not an unprimeable number, because it can be changed into a prime (100116007307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29444185 + ... + 29447584.

It is an arithmetic number, because the mean of its divisors is an integer number (6389757045).

Almost surely, 2^100116007300 is an apocalyptic number.

100116007300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100116007300 is an abundant number, since it is smaller than the sum of its proper divisors (129915246320).

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

100116007300 is a wasteful number, since it uses less digits than its factorization.

100116007300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58891800 (or 58891793 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 100116007300 its reverse (3700611001), we get a palindrome (103816618301).

The spelling of 100116007300 in words is "one hundred billion, one hundred sixteen million, seven thousand, three hundred".