105117171715009 has 8 divisors (see below), whose sum is σ = 105899614479360. Its totient is φ = 104334948721056.

The previous prime is 105117171715007. The next prime is 105117171715021. The reversal of 105117171715009 is 900517171711501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105117171715009 - 2¹ = 105117171715007 is a prime.

It is a super-2 number, since 2×105117171715009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105117171715009.

It is not an unprimeable number, because it can be changed into a prime (105117171715007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53982369 + ... + 55895710.

It is an arithmetic number, because the mean of its divisors is an integer number (13237451809920).

Almost surely, 2^{105117171715009} is an apocalyptic number.

It is an amenable number.

105117171715009 is a deficient number, since it is larger than the sum of its proper divisors (782442764351).

105117171715009 is a wasteful number, since it uses less digits than its factorization.

105117171715009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109885199.

The product of its (nonzero) digits is 77175, while the sum is 46.

The spelling of 105117171715009 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, seven hundred fifteen thousand, nine".