105117041817 has 80 divisors (see below), whose sum is σ = 167643412992. Its totient is φ = 65681383680.

The previous prime is 105117041761. The next prime is 105117041819. The reversal of 105117041817 is 718140711501.

It is a happy number.

105117041817 is a `hidden beast` number, since 10 + 51 + 170 + 418 + 17 = 666.

It is not a de Polignac number, because 105117041817 - 2⁶ = 105117041753 is a prime.

It is a super-2 number, since 2×105117041817² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117041819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106071192 + ... + 106072182.

Almost surely, 2^105117041817 is an apocalyptic number.

105117041817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105117041817 is a deficient number, since it is larger than the sum of its proper divisors (62526371175).

105117041817 is an frugal number, since it uses more digits than its factorization.

105117041817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 36.

The spelling of 105117041817 in words is "one hundred five billion, one hundred seventeen million, forty-one thousand, eight hundred seventeen".