13106688 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 3514368.

The previous prime is 13106663. The next prime is 13106689. The reversal of 13106688 is 88660131.

13106688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106689) 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, 247270 + ... + 247322.

Almost surely, 2^13106688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

13106688 is an abundant number, since it is smaller than the sum of its proper divisors (29319168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13106688 is an equidigital number, since it uses as much as digits as its factorization.

13106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13106688 is about 3620.3160083065. The cubic root of 13106688 is about 235.7749458468.

The spelling of 13106688 in words is "thirteen million, one hundred six thousand, six hundred eighty-eight".