116306945 has 16 divisors (see below), whose sum is σ = 149098320. Its totient is φ = 86790144.

The previous prime is 116306933. The next prime is 116307001. The reversal of 116306945 is 549603611.

It can be written as a sum of positive squares in 8 ways, for example, as 1560001 + 114746944 = 1249^2 + 10712^2 .

It is a cyclic number.

It is not a de Polignac number, because 116306945 - 2²⁰ = 115258369 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 3551 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (9318645).

Almost surely, 2^116306945 is an apocalyptic number.

It is an amenable number.

116306945 is a deficient number, since it is larger than the sum of its proper divisors (32791375).

116306945 is a wasteful number, since it uses less digits than its factorization.

116306945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12244.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 116306945 is about 10784.5697642511. The cubic root of 116306945 is about 488.1296811697.

The spelling of 116306945 in words is "one hundred sixteen million, three hundred six thousand, nine hundred forty-five".