10585105 has 16 divisors (see below), whose sum is σ = 13400064. Its totient is φ = 8015040.

The previous prime is 10585063. The next prime is 10585111. The reversal of 10585105 is 50158501.

It is not a de Polignac number, because 10585105 - 2²¹ = 8487953 is a prime.

It is a super-2 number, since 2×10585105² = 224088895722050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10585105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6559 + ... + 8011.

It is an arithmetic number, because the mean of its divisors is an integer number (837504).

Almost surely, 2^10585105 is an apocalyptic number.

It is an amenable number.

10585105 is a deficient number, since it is larger than the sum of its proper divisors (2814959).

10585105 is a wasteful number, since it uses less digits than its factorization.

10585105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536.

The product of its (nonzero) digits is 1000, while the sum is 25.

The square root of 10585105 is about 3253.4758336278. The cubic root of 10585105 is about 219.5659831760.

The spelling of 10585105 in words is "ten million, five hundred eighty-five thousand, one hundred five".