13057105 has 16 divisors (see below), whose sum is σ = 17165520. Its totient is φ = 9490432.

The previous prime is 13057081. The next prime is 13057127. The reversal of 13057105 is 50175031.

13057105 is digitally balanced in base 2, 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 863041 + 12194064 = 929^2 + 3492^2 .

It is a cyclic number.

It is not a de Polignac number, because 13057105 - 2¹⁵ = 13024337 is a prime.

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, 184 + ... + 5113.

It is an arithmetic number, because the mean of its divisors is an integer number (1072845).

Almost surely, 2^13057105 is an apocalyptic number.

It is an amenable number.

13057105 is a deficient number, since it is larger than the sum of its proper divisors (4108415).

13057105 is a wasteful number, since it uses less digits than its factorization.

13057105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 13057105 is about 3613.4616367135. The cubic root of 13057105 is about 235.4772555391.

It can be divided in two parts, 1305 and 7105, that multiplied together give a square (9272025 = 3045²).

The spelling of 13057105 in words is "thirteen million, fifty-seven thousand, one hundred five".