13105920 has 72 divisors (see below), whose sum is σ = 41869296. Its totient is φ = 3493888.

The previous prime is 13105907. The next prime is 13105921. The reversal of 13105920 is 2950131.

13105920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13105921) 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, 2134 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (581518).

Almost surely, 2^13105920 is an apocalyptic number.

13105920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934648).

13105920 is an abundant number, since it is smaller than the sum of its proper divisors (28763376).

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

13105920 is an equidigital number, since it uses as much as digits as its factorization.

13105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 13105920 is about 3620.2099386638. The cubic root of 13105920 is about 235.7703405975.

The spelling of 13105920 in words is "thirteen million, one hundred five thousand, nine hundred twenty".