13105344 has 112 divisors (see below), whose sum is σ = 40640000. Its totient is φ = 3725568.

The previous prime is 13105333. The next prime is 13105357. The reversal of 13105344 is 44350131.

13105344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13105344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65757 + ... + 65955.

Almost surely, 2^13105344 is an apocalyptic number.

13105344 is a gapful number since it is divisible by the number (14) 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 13105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320000).

13105344 is an abundant number, since it is smaller than the sum of its proper divisors (27534656).

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

13105344 is an equidigital number, since it uses as much as digits as its factorization.

13105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13105344 is about 3620.1303843923. The cubic root of 13105344 is about 235.7668865425.

Adding to 13105344 its reverse (44350131), we get a palindrome (57455475).

The spelling of 13105344 in words is "thirteen million, one hundred five thousand, three hundred forty-four".