105085117107845 has 32 divisors (see below), whose sum is σ = 153044317313280. Its totient is φ = 67661698083840.

The previous prime is 105085117107823. The next prime is 105085117107907. The reversal of 105085117107845 is 548701711580501.

It is not a de Polignac number, because 105085117107845 - 2⁶ = 105085117107781 is a prime.

It is a super-2 number, since 2×105085117107845² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 699140486 + ... + 699290775.

It is an arithmetic number, because the mean of its divisors is an integer number (4782634916040).

Almost surely, 2^{105085117107845} is an apocalyptic number.

It is an amenable number.

105085117107845 is a deficient number, since it is larger than the sum of its proper divisors (47959200205435).

105085117107845 is a wasteful number, since it uses less digits than its factorization.

105085117107845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398431405.

The product of its (nonzero) digits is 1568000, while the sum is 53.

The spelling of 105085117107845 in words is "one hundred five trillion, eighty-five billion, one hundred seventeen million, one hundred seven thousand, eight hundred forty-five".