116875096900 has 81 divisors (see below), whose sum is σ = 269549334327. Its totient is φ = 43978156800.

The previous prime is 116875096859. The next prime is 116875096901. The reversal of 116875096900 is 9690578611.

The square root of 116875096900 is 341870.

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 2733825796 + 114141271104 = 52286^2 + 337848^2 .

It is a super-2 number, since 2×116875096900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116875096901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58116895 + ... + 58118905.

Almost surely, 2^116875096900 is an apocalyptic number.

116875096900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116875096900 is the 341870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116875096900

116875096900 is an abundant number, since it is smaller than the sum of its proper divisors (152674237427).

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

116875096900 is an equidigital number, since it uses as much as digits as its factorization.

116875096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 116875096900 in words is "one hundred sixteen billion, eight hundred seventy-five million, ninety-six thousand, nine hundred".