105117171715010 has 64 divisors (see below), whose sum is σ = 236065033193472. Its totient is φ = 32812128124416.

The previous prime is 105117171715007. The next prime is 105117171715021. The reversal of 105117171715010 is 10517171711501.

It is a super-2 number, since 2×105117171715010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791121074 + ... + 791253933.

It is an arithmetic number, because the mean of its divisors is an integer number (3688516143648).

Almost surely, 2^{105117171715010} is an apocalyptic number.

105117171715010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105117171715010 is an abundant number, since it is smaller than the sum of its proper divisors (130947861478462).

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

105117171715010 is a wasteful number, since it uses less digits than its factorization.

105117171715010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582375107.

The product of its (nonzero) digits is 8575, while the sum is 38.

The spelling of 105117171715010 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, seven hundred fifteen thousand, ten".