13157105 has 16 divisors (see below), whose sum is σ = 17421264. Its totient is φ = 9477120.

The previous prime is 13157093. The next prime is 13157107. The reversal of 13157105 is 50175131.

13157105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3964081 + 9193024 = 1991^2 + 3032^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13157105 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13157107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (1088829).

Almost surely, 2^13157105 is an apocalyptic number.

It is an amenable number.

13157105 is a deficient number, since it is larger than the sum of its proper divisors (4264159).

13157105 is a wasteful number, since it uses less digits than its factorization.

13157105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996.

The product of its (nonzero) digits is 525, while the sum is 23.

The square root of 13157105 is about 3627.2723912053. The cubic root of 13157105 is about 236.0768745540.

The spelling of 13157105 in words is "thirteen million, one hundred fifty-seven thousand, one hundred five".