13688090107 has 16 divisors (see below), whose sum is σ = 14700117600. Its totient is φ = 12700090368.

The previous prime is 13688090081. The next prime is 13688090113. The reversal of 13688090107 is 70109088631.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13688090107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13688090407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407644 + ... + 439942.

It is an arithmetic number, because the mean of its divisors is an integer number (918757350).

Almost surely, 2^13688090107 is an apocalyptic number.

13688090107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13688090107 is a deficient number, since it is larger than the sum of its proper divisors (1012027493).

13688090107 is a wasteful number, since it uses less digits than its factorization.

13688090107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32670.

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 13688090107 in words is "thirteen billion, six hundred eighty-eight million, ninety thousand, one hundred seven".