13003662105 has 64 divisors (see below), whose sum is σ = 26434598400. Its totient is φ = 5941278720.

The previous prime is 13003662079. The next prime is 13003662143. The reversal of 13003662105 is 50126630031.

13003662105 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 36 + 621 + 0 + 5 = 666.

It is not a de Polignac number, because 13003662105 - 2¹⁰ = 13003661081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2947141 + ... + 2951549.

It is an arithmetic number, because the mean of its divisors is an integer number (413040600).

Almost surely, 2^13003662105 is an apocalyptic number.

13003662105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003662105 is an abundant number, since it is smaller than the sum of its proper divisors (13430936295).

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

13003662105 is a wasteful number, since it uses less digits than its factorization.

13003662105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13003662105 in words is "thirteen billion, three million, six hundred sixty-two thousand, one hundred five".