116581005 has 32 divisors (see below), whose sum is σ = 210364800. Its totient is φ = 61243776.

The previous prime is 116580977. The next prime is 116581021. The reversal of 116581005 is 500185611.

116581005 is a `hidden beast` number, since 1 + 1 + 658 + 1 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 116581005 - 2¹² = 116576909 is a prime.

It is a super-2 number, since 2×116581005² = 27182261453620050, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116581005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601 + ... + 15489.

It is an arithmetic number, because the mean of its divisors is an integer number (6573900).

Almost surely, 2^116581005 is an apocalyptic number.

116581005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116581005 is a deficient number, since it is larger than the sum of its proper divisors (93783795).

116581005 is a wasteful number, since it uses less digits than its factorization.

116581005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12964 counting only the distinct ones).

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

The square root of 116581005 is about 10797.2684045549. The cubic root of 116581005 is about 488.5127820605.

The spelling of 116581005 in words is "one hundred sixteen million, five hundred eighty-one thousand, five".