115049856100 has 81 divisors (see below), whose sum is σ = 252810750283. Its totient is φ = 45446032960.

The previous prime is 115049856083. The next prime is 115049856121. The reversal of 115049856100 is 1658940511.

The square root of 115049856100 is 339190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46439388004 + 68610468096 = 215498^2 + 261936^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 362933142 + ... + 362933458.

Almost surely, 2^115049856100 is an apocalyptic number.

115049856100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115049856100 is the 339190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115049856100

115049856100 is an abundant number, since it is smaller than the sum of its proper divisors (137760894183).

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

115049856100 is an equidigital number, since it uses as much as digits as its factorization.

115049856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 115049856100 in words is "one hundred fifteen billion, forty-nine million, eight hundred fifty-six thousand, one hundred".