10107513 has 12 divisors (see below), whose sum is σ = 15722980. Its totient is φ = 6219936.

The previous prime is 10107509. The next prime is 10107523. The reversal of 10107513 is 31570101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 9162729 = 972^2 + 3027^2 .

It is not a de Polignac number, because 10107513 - 2² = 10107509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10107523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43078 + ... + 43311.

Almost surely, 2^10107513 is an apocalyptic number.

10107513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10107513 is a deficient number, since it is larger than the sum of its proper divisors (5615467).

10107513 is a wasteful number, since it uses less digits than its factorization.

10107513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86408 (or 86405 counting only the distinct ones).

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

The square root of 10107513 is about 3179.2315109158. The cubic root of 10107513 is about 216.2128175126.

Adding to 10107513 its reverse (31570101), we get a palindrome (41677614).

The spelling of 10107513 in words is "ten million, one hundred seven thousand, five hundred thirteen".