10117102105 has 16 divisors (see below), whose sum is σ = 13293460800. Its totient is φ = 7330528960.

The previous prime is 10117102063. The next prime is 10117102183. The reversal of 10117102105 is 50120171101.

It is not a de Polignac number, because 10117102105 - 2⁹ = 10117101593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327115 + ... + 356704.

It is an arithmetic number, because the mean of its divisors is an integer number (830841300).

Almost surely, 2^10117102105 is an apocalyptic number.

It is an amenable number.

10117102105 is a deficient number, since it is larger than the sum of its proper divisors (3176358695).

10117102105 is a wasteful number, since it uses less digits than its factorization.

10117102105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684104.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 10117102105 its reverse (50120171101), we get a palindrome (60237273206).

The spelling of 10117102105 in words is "ten billion, one hundred seventeen million, one hundred two thousand, one hundred five".