115107072200 has 48 divisors (see below), whose sum is σ = 267908784660. Its totient is φ = 45993824000.

The previous prime is 115107072161. The next prime is 115107072287. The reversal of 115107072200 is 2270701511.

It can be written as a sum of positive squares in 6 ways, for example, as 37130977636 + 77976094564 = 192694^2 + 279242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115107072200.

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 11 ways as a sum of consecutive naturals, for example, 117611 + ... + 494010.

Almost surely, 2^115107072200 is an apocalyptic number.

115107072200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115107072200 is an abundant number, since it is smaller than the sum of its proper divisors (152801712460).

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

115107072200 is a wasteful number, since it uses less digits than its factorization.

115107072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612578 (or 612569 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 115107072200 its reverse (2270701511), we get a palindrome (117377773711).

The spelling of 115107072200 in words is "one hundred fifteen billion, one hundred seven million, seventy-two thousand, two hundred".