107688013 has 8 divisors (see below), whose sum is σ = 114367032. Its totient is φ = 101047296.

The previous prime is 107687989. The next prime is 107688023. The reversal of 107688013 is 310886701.

It can be written as a sum of positive squares in 4 ways, for example, as 34363044 + 73324969 = 5862^2 + 8563^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107688013 - 2²⁵ = 74133581 is a prime.

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 107688013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107688023) 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 7 ways as a sum of consecutive naturals, for example, 3670 + ... + 15127.

It is an arithmetic number, because the mean of its divisors is an integer number (14295879).

Almost surely, 2^107688013 is an apocalyptic number.

It is an amenable number.

107688013 is a deficient number, since it is larger than the sum of its proper divisors (6679019).

107688013 is a wasteful number, since it uses less digits than its factorization.

107688013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 107688013 is about 10377.2835077394. The cubic root of 107688013 is about 475.7613099007.

It can be divided in two parts, 10768 and 8013, that added together give a palindrome (18781).

The spelling of 107688013 in words is "one hundred seven million, six hundred eighty-eight thousand, thirteen".