107513 has 4 divisors (see below), whose sum is σ = 122880. Its totient is φ = 92148.

The previous prime is 107509. The next prime is 107563. The reversal of 107513 is 315701.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 107513 - 2² = 107509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107491 and 107500.

It is not an unprimeable number, because it can be changed into a prime (107563) 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 3 ways as a sum of consecutive naturals, for example, 7673 + ... + 7686.

It is an arithmetic number, because the mean of its divisors is an integer number (30720).

2¹⁰⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

107513 is a deficient number, since it is larger than the sum of its proper divisors (15367).

107513 is an equidigital number, since it uses as much as digits as its factorization.

107513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 107513 is about 327.8917504299. The cubic root of 107513 is about 47.5503436688.

The spelling of 107513 in words is "one hundred seven thousand, five hundred thirteen".