100105100560117 has 8 divisors (see below), whose sum is σ = 103470679104480. Its totient is φ = 96795151413360.

The previous prime is 100105100560109. The next prime is 100105100560159. The reversal of 100105100560117 is 711065001501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100105100560117 - 2³ = 100105100560109 is a prime.

It is a super-2 number, since 2×100105100560117² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105100560187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13907345743 + ... + 13907352940.

It is an arithmetic number, because the mean of its divisors is an integer number (12933834888060).

Almost surely, 2^{100105100560117} is an apocalyptic number.

It is an amenable number.

100105100560117 is a deficient number, since it is larger than the sum of its proper divisors (3365578544363).

100105100560117 is an equidigital number, since it uses as much as digits as its factorization.

100105100560117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27814698803.

The product of its (nonzero) digits is 1050, while the sum is 28.

The spelling of 100105100560117 in words is "one hundred trillion, one hundred five billion, one hundred million, five hundred sixty thousand, one hundred seventeen".