10580853105 has 12 divisors (see below), whose sum is σ = 18340145460. Its totient is φ = 5643121632.

The previous prime is 10580853083. The next prime is 10580853119. The reversal of 10580853105 is 50135808501.

10580853105 is a `hidden beast` number, since 10 + 580 + 8 + 53 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4718041344 + 5862811761 = 68688^2 + 76569^2 .

It is not a de Polignac number, because 10580853105 - 2⁷ = 10580852977 is a prime.

It is a super-2 number, since 2×10580853105² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10580853105.

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, 117564990 + ... + 117565079.

It is an arithmetic number, because the mean of its divisors is an integer number (1528345455).

Almost surely, 2^10580853105 is an apocalyptic number.

10580853105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10580853105 is a deficient number, since it is larger than the sum of its proper divisors (7759292355).

10580853105 is a wasteful number, since it uses less digits than its factorization.

10580853105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235130080 (or 235130077 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 10580853105 in words is "ten billion, five hundred eighty million, eight hundred fifty-three thousand, one hundred five".