13105197 has 18 divisors (see below), whose sum is σ = 22021038. Its totient is φ = 7488432.

The previous prime is 13105189. The next prime is 13105207. The reversal of 13105197 is 79150131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12595401 + 509796 = 3549^2 + 714^2 .

It is not a de Polignac number, because 13105197 - 2³ = 13105189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105177) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14418 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391).

Almost surely, 2^13105197 is an apocalyptic number.

It is an amenable number.

13105197 is a deficient number, since it is larger than the sum of its proper divisors (8915841).

13105197 is a wasteful number, since it uses less digits than its factorization.

13105197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29737 (or 29727 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 13105197 is about 3620.1100811992. The cubic root of 13105197 is about 235.7660050227.

The spelling of 13105197 in words is "thirteen million, one hundred five thousand, one hundred ninety-seven".