13106968 has 32 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 5520672.

The previous prime is 13106963. The next prime is 13106971. The reversal of 13106968 is 86960131.

It is a super-2 number, since 2×13106968² = 343585220306048, which contains 22 as substring.

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 (13106963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321 + ... + 5287.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^13106968 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 13106968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

13106968 is an abundant number, since it is smaller than the sum of its proper divisors (15462632).

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

13106968 is a wasteful number, since it uses less digits than its factorization.

13106968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 13106968 is about 3620.3546787573. The cubic root of 13106968 is about 235.7766247991.

The spelling of 13106968 in words is "thirteen million, one hundred six thousand, nine hundred sixty-eight".