116100585 has 24 divisors (see below), whose sum is σ = 201519240. Its totient is φ = 61834752.

The previous prime is 116100563. The next prime is 116100617. The reversal of 116100585 is 585001611.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 112084569 = 2004^2 + 10587^2 .

It is not a de Polignac number, because 116100585 - 2¹² = 116096489 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 44127 + ... + 46683.

It is an arithmetic number, because the mean of its divisors is an integer number (8396635).

Almost surely, 2^116100585 is an apocalyptic number.

116100585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116100585 is a deficient number, since it is larger than the sum of its proper divisors (85418655).

116100585 is a wasteful number, since it uses less digits than its factorization.

116100585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 116100585 is about 10774.9981438513. The cubic root of 116100585 is about 487.8408188719.

The spelling of 116100585 in words is "one hundred sixteen million, one hundred thousand, five hundred eighty-five".