1000105817917 has 2 divisors, whose sum is σ = 1000105817918. Its totient is φ = 1000105817916.

The previous prime is 1000105817903. The next prime is 1000105817959. The reversal of 1000105817917 is 7197185010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 687914312836 + 312191505081 = 829406^2 + 558741^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000105817917 - 2¹¹ = 1000105815869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000105817917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000105817017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500052908958 + 500052908959.

It is an arithmetic number, because the mean of its divisors is an integer number (500052908959).

Almost surely, 2^{1000105817917} is an apocalyptic number.

It is an amenable number.

1000105817917 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000105817917 is an equidigital number, since it uses as much as digits as its factorization.

1000105817917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 40.

The spelling of 1000105817917 in words is "one trillion, one hundred five million, eight hundred seventeen thousand, nine hundred seventeen".