105611110606111 has 32 divisors (see below), whose sum is σ = 125634576089088. Its totient is φ = 87791521503840.

The previous prime is 105611110606073. The next prime is 105611110606129. The reversal of 105611110606111 is 111606011116501.

It is not a de Polignac number, because 105611110606111 - 2⁷ = 105611110605983 is a prime.

It is a super-2 number, since 2×105611110606111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611110606181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102763111 + ... + 103785736.

It is an arithmetic number, because the mean of its divisors is an integer number (3926080502784).

Almost surely, 2^{105611110606111} is an apocalyptic number.

105611110606111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105611110606111 is a deficient number, since it is larger than the sum of its proper divisors (20023465482977).

105611110606111 is a wasteful number, since it uses less digits than its factorization.

105611110606111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206548971.

The product of its (nonzero) digits is 1080, while the sum is 31.

The spelling of 105611110606111 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, six hundred six thousand, one hundred eleven".