10116585 has 12 divisors (see below), whose sum is σ = 17535492. Its totient is φ = 5395488.

The previous prime is 10116539. The next prime is 10116593. The reversal of 10116585 is 58561101.

10116585 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 658 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 3583449 = 2556^2 + 1893^2 .

It is not a de Polignac number, because 10116585 - 2⁸ = 10116329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112362 + ... + 112451.

It is an arithmetic number, because the mean of its divisors is an integer number (1461291).

Almost surely, 2^10116585 is an apocalyptic number.

10116585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10116585 is a deficient number, since it is larger than the sum of its proper divisors (7418907).

10116585 is a wasteful number, since it uses less digits than its factorization.

10116585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224824 (or 224821 counting only the distinct ones).

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

The square root of 10116585 is about 3180.6579508020. The cubic root of 10116585 is about 216.2774854525.

Adding to 10116585 its reverse (58561101), we get a palindrome (68677686).

It can be divided in two parts, 10116 and 585, that added together give a palindrome (10701).

The spelling of 10116585 in words is "ten million, one hundred sixteen thousand, five hundred eighty-five".