116505216 has 160 divisors (see below), whose sum is σ = 367668180. Its totient is φ = 36495360.

The previous prime is 116505187. The next prime is 116505229. The reversal of 116505216 is 612505611.

It is a happy number.

116505216 is a `hidden beast` number, since 1 + 1 + 650 + 5 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 10497600 = 10296^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 116505216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175926 + ... + 176586.

Almost surely, 2^116505216 is an apocalyptic number.

116505216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183834090).

116505216 is an abundant number, since it is smaller than the sum of its proper divisors (251162964).

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

116505216 is an equidigital number, since it uses as much as digits as its factorization.

116505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 116505216 is about 10793.7581962910. The cubic root of 116505216 is about 488.4068988274.

The spelling of 116505216 in words is "one hundred sixteen million, five hundred five thousand, two hundred sixteen".