105611110009991 has 8 divisors (see below), whose sum is σ = 108876079861584. Its totient is φ = 102378953926080.

The previous prime is 105611110009969. The next prime is 105611110010033. The reversal of 105611110009991 is 199900011116501.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105611110009991 is a prime.

It is a super-2 number, since 2×105611110009991² (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 (105611110009931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8203435385 + ... + 8203448258.

It is an arithmetic number, because the mean of its divisors is an integer number (13609509982698).

Almost surely, 2^{105611110009991} is an apocalyptic number.

105611110009991 is a deficient number, since it is larger than the sum of its proper divisors (3264969851593).

105611110009991 is a wasteful number, since it uses less digits than its factorization.

105611110009991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406883841.

The product of its (nonzero) digits is 21870, while the sum is 44.

The spelling of 105611110009991 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, nine thousand, nine hundred ninety-one".