107013 has 4 divisors (see below), whose sum is σ = 142688. Its totient is φ = 71340.

The previous prime is 106993. The next prime is 107021. The reversal of 107013 is 310701.

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, and also an emirpimes, since its reverse is a distinct semiprime: 310701 = 3 ⋅103567.

It is not a de Polignac number, because 107013 - 2⁶ = 106949 is a prime.

It is a super-2 number, since 2×107013² = 22903564338, which contains 22 as substring.

It is a D-number.

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 107013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17833 + ... + 17838.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2¹⁰⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

107013 is a deficient number, since it is larger than the sum of its proper divisors (35675).

107013 is an equidigital number, since it uses as much as digits as its factorization.

107013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35674.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 107013 is about 327.1284151522. The cubic root of 107013 is about 47.4765165545.

Adding to 107013 its reverse (310701), we get a palindrome (417714).

The spelling of 107013 in words is "one hundred seven thousand, thirteen".