107613 has 12 divisors (see below), whose sum is σ = 169728. Its totient is φ = 65160.

The previous prime is 107609. The next prime is 107621. The reversal of 107613 is 316701.

It is not a de Polignac number, because 107613 - 2² = 107609 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (14144).

2¹⁰⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

107613 is a deficient number, since it is larger than the sum of its proper divisors (62115).

107613 is a wasteful number, since it uses less digits than its factorization.

107613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107613 is about 328.0442043384. The cubic root of 107613 is about 47.5650816102.

It can be divided in two parts, 1076 and 13, that added together give a square (1089 = 33²).

The spelling of 107613 in words is "one hundred seven thousand, six hundred thirteen".