105556111111 has 32 divisors (see below), whose sum is σ = 120206592000. Its totient is φ = 91865040000.

The previous prime is 105556111109. The next prime is 105556111117. The reversal of 105556111111 is 111111655501.

It is a cyclic number.

It is not a de Polignac number, because 105556111111 - 2¹ = 105556111109 is a prime.

It is a super-2 number, since 2×105556111111² (a number of 23 digits) contains 22 as substring.

105556111111 is a modest number, since divided by 111111 gives 105556 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 105556111111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556111117) 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, 3985290 + ... + 4011688.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456000).

Almost surely, 2^105556111111 is an apocalyptic number.

105556111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105556111111 is a deficient number, since it is larger than the sum of its proper divisors (14650480889).

105556111111 is a wasteful number, since it uses less digits than its factorization.

105556111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26631.

The product of its (nonzero) digits is 750, while the sum is 28.

Adding to 105556111111 its reverse (111111655501), we get a palindrome (216667766612).

The spelling of 105556111111 in words is "one hundred five billion, five hundred fifty-six million, one hundred eleven thousand, one hundred eleven".