10513107 has 24 divisors (see below), whose sum is σ = 16743168. Its totient is φ = 6303600.

The previous prime is 10513079. The next prime is 10513117. The reversal of 10513107 is 70131501.

It is a happy number.

It is not a de Polignac number, because 10513107 - 2⁶ = 10513043 is a prime.

It is a super-2 number, since 2×10513107² = 221050837586898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513107.

It is not an unprimeable number, because it can be changed into a prime (10513117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9682 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (697632).

Almost surely, 2^10513107 is an apocalyptic number.

10513107 is a deficient number, since it is larger than the sum of its proper divisors (6230061).

10513107 is a wasteful number, since it uses less digits than its factorization.

10513107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10513107 is about 3242.3921724554. The cubic root of 10513107 is about 219.0670339612.

Adding to 10513107 its reverse (70131501), we get a palindrome (80644608).

The spelling of 10513107 in words is "ten million, five hundred thirteen thousand, one hundred seven".