31106000001105 has 128 divisors (see below), whose sum is σ = 58702776115200. Its totient is φ = 15584128939008.

The previous prime is 31106000001071. The next prime is 31106000001127. The reversal of 31106000001105 is 50110000060113.

It is not a de Polignac number, because 31106000001105 - 2²⁵ = 31105966446673 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180949224 + ... + 181121046.

It is an arithmetic number, because the mean of its divisors is an integer number (458615438400).

Almost surely, 2^{31106000001105} is an apocalyptic number.

It is an amenable number.

31106000001105 is a deficient number, since it is larger than the sum of its proper divisors (27596776114095).

31106000001105 is a wasteful number, since it uses less digits than its factorization.

31106000001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172452 (or 172446 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 31106000001105 its reverse (50110000060113), we get a palindrome (81216000061218).

The spelling of 31106000001105 in words is "thirty-one trillion, one hundred six billion, one thousand, one hundred five".