105117171715007 has 2 divisors, whose sum is σ = 105117171715008. Its totient is φ = 105117171715006.

The previous prime is 105117171714977. The next prime is 105117171715021. The reversal of 105117171715007 is 700517171711501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105117171715007 - 2⁶ = 105117171714943 is a prime.

It is a super-2 number, since 2×105117171715007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105117171715607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558585857503 + 52558585857504.

It is an arithmetic number, because the mean of its divisors is an integer number (52558585857504).

Almost surely, 2^{105117171715007} is an apocalyptic number.

105117171715007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117171715007 is an equidigital number, since it uses as much as digits as its factorization.

105117171715007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60025, while the sum is 44.

The spelling of 105117171715007 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, seven hundred fifteen thousand, seven".