13105609107889 has 27 divisors (see below), whose sum is σ = 14157899861313. Its totient is φ = 12129007516800.

The previous prime is 13105609107869. The next prime is 13105609107893. The reversal of 13105609107889 is 98870190650131.

The square root of 13105609107889 is 3620167.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1209263112225 + 11896345995664 = 1099665^2 + 3449108^2 .

It is not a de Polignac number, because 13105609107889 - 2⁷ = 13105609107761 is a prime.

It is a super-2 number, since 2×13105609107889² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105609107869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3754111434 + ... + 3754114924.

Almost surely, 2^{13105609107889} is an apocalyptic number.

13105609107889 is the 3620167-th square number.

13105609107889 is the 1810084-th centered octagonal number.

It is an amenable number.

13105609107889 is a deficient number, since it is larger than the sum of its proper divisors (1052290753424).

13105609107889 is an frugal number, since it uses more digits than its factorization.

13105609107889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 58.

The spelling of 13105609107889 in words is "thirteen trillion, one hundred five billion, six hundred nine million, one hundred seven thousand, eight hundred eighty-nine".