13105836090 has 24 divisors (see below), whose sum is σ = 34075174068. Its totient is φ = 3494889600.

The previous prime is 13105836077. The next prime is 13105836097. The reversal of 13105836090 is 9063850131.

It is a happy number.

13105836090 is a `hidden beast` number, since 1 + 3 + 10 + 583 + 60 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11925295209 + 1180540881 = 109203^2 + 34359^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13105836097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72810111 + ... + 72810290.

Almost surely, 2^13105836090 is an apocalyptic number.

13105836090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105836090 is an abundant number, since it is smaller than the sum of its proper divisors (20969337978).

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

13105836090 is a wasteful number, since it uses less digits than its factorization.

13105836090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145620414 (or 145620411 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13105836090 in words is "thirteen billion, one hundred five million, eight hundred thirty-six thousand, ninety".