105511000111 has 16 divisors (see below), whose sum is σ = 117649545120. Its totient is φ = 93808465920.

The previous prime is 105511000103. The next prime is 105511000139. The reversal of 105511000111 is 111000115501.

It is a cyclic number.

It is not a de Polignac number, because 105511000111 - 2³ = 105511000103 is a prime.

It is a super-2 number, since 2×105511000111² (a number of 23 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 (105511000171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106626 + ... + 471583.

It is an arithmetic number, because the mean of its divisors is an integer number (7353096570).

Almost surely, 2^105511000111 is an apocalyptic number.

105511000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105511000111 is a deficient number, since it is larger than the sum of its proper divisors (12138545009).

105511000111 is a wasteful number, since it uses less digits than its factorization.

105511000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578586.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105511000111 its reverse (111000115501), we get a palindrome (216511115612).

The spelling of 105511000111 in words is "one hundred five billion, five hundred eleven million, one hundred eleven", and thus it is an aban number.