105117106731 has 16 divisors (see below), whose sum is σ = 172499867904. Its totient is φ = 55446385824.

The previous prime is 105117106729. The next prime is 105117106753. The reversal of 105117106731 is 137601711501.

It is not a de Polignac number, because 105117106731 - 2¹ = 105117106729 is a prime.

It is a super-2 number, since 2×105117106731² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105117106692 and 105117106701.

It is not an unprimeable number, because it can be changed into a prime (105117106781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192521901 + ... + 192522446.

It is an arithmetic number, because the mean of its divisors is an integer number (10781241744).

Almost surely, 2^105117106731 is an apocalyptic number.

105117106731 is a deficient number, since it is larger than the sum of its proper divisors (67382761173).

105117106731 is a wasteful number, since it uses less digits than its factorization.

105117106731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385044370.

The product of its (nonzero) digits is 4410, while the sum is 33.

The spelling of 105117106731 in words is "one hundred five billion, one hundred seventeen million, one hundred six thousand, seven hundred thirty-one".