116683728100 has 27 divisors (see below), whose sum is σ = 253211102697. Its totient is φ = 46672124880.

The previous prime is 116683728097. The next prime is 116683728167. The reversal of 116683728100 is 1827386611.

The square root of 116683728100 is 341590.

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

It can be written as a sum of positive squares in only one way, i.e., 42006142116 + 74677585984 = 204954^2 + 273272^2 .

It is a super-2 number, since 2×116683728100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3398821 + ... + 3432979.

Almost surely, 2^116683728100 is an apocalyptic number.

116683728100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116683728100 is the 341590-th square number.

It is an amenable number.

116683728100 is an abundant number, since it is smaller than the sum of its proper divisors (136527374597).

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

116683728100 is an frugal number, since it uses more digits than its factorization.

116683728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68332 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 116683728100 in words is "one hundred sixteen billion, six hundred eighty-three million, seven hundred twenty-eight thousand, one hundred".