105117365403 has 24 divisors (see below), whose sum is σ = 152530941888. Its totient is φ = 69757763712.

The previous prime is 105117365387. The next prime is 105117365411. The reversal of 105117365403 is 304563711501.

105117365403 is a `hidden beast` number, since 10 + 511 + 73 + 65 + 4 + 0 + 3 = 666.

It is not a de Polignac number, because 105117365403 - 2⁴ = 105117365387 is a prime.

It is a super-2 number, since 2×105117365403² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117365453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14501326 + ... + 14508572.

It is an arithmetic number, because the mean of its divisors is an integer number (6355455912).

Almost surely, 2^105117365403 is an apocalyptic number.

105117365403 is a deficient number, since it is larger than the sum of its proper divisors (47413576485).

105117365403 is a wasteful number, since it uses less digits than its factorization.

105117365403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 105117365403 in words is "one hundred five billion, one hundred seventeen million, three hundred sixty-five thousand, four hundred three".