116957160100 has 81 divisors (see below), whose sum is σ = 279056749251. Its totient is φ = 42516196800.

The previous prime is 116957160083. The next prime is 116957160139. The reversal of 116957160100 is 1061759611.

The square root of 116957160100 is 341990.

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 26168238756 + 90788921344 = 161766^2 + 301312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116957160100.

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, 37617346 + ... + 37620454.

Almost surely, 2^116957160100 is an apocalyptic number.

116957160100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116957160100 is the 341990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116957160100

116957160100 is an abundant number, since it is smaller than the sum of its proper divisors (162099589151).

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

116957160100 is an equidigital number, since it uses as much as digits as its factorization.

116957160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 116957160100 in words is "one hundred sixteen billion, nine hundred fifty-seven million, one hundred sixty thousand, one hundred".