111106106111 has 16 divisors (see below), whose sum is σ = 149177430528. Its totient is φ = 79916479200.

The previous prime is 111106106099. The next prime is 111106106123. The reversal of 111106106111 is 111601601111.

It is an interprime number because it is at equal distance from previous prime (111106106099) and next prime (111106106123).

It is a cyclic number.

It is not a de Polignac number, because 111106106111 - 2¹⁸ = 111105843967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111106106411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55496555 + ... + 55498556.

It is an arithmetic number, because the mean of its divisors is an integer number (9323589408).

Almost surely, 2^111106106111 is an apocalyptic number.

111106106111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111106106111 is a deficient number, since it is larger than the sum of its proper divisors (38071324417).

111106106111 is a wasteful number, since it uses less digits than its factorization.

111106106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110995142.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 111106106111 its reverse (111601601111), we get a palindrome (222707707222).

The spelling of 111106106111 in words is "one hundred eleven billion, one hundred six million, one hundred six thousand, one hundred eleven".