105561061111 has 16 divisors (see below), whose sum is σ = 123071063040. Its totient is φ = 89475498880.

The previous prime is 105561061063. The next prime is 105561061129. The reversal of 105561061111 is 111160165501.

It is not a de Polignac number, because 105561061111 - 2⁹ = 105561060599 is a prime.

It is a super-2 number, since 2×105561061111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105561061111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561061811) 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, 2617831 + ... + 2657848.

It is an arithmetic number, because the mean of its divisors is an integer number (7691941440).

Almost surely, 2^105561061111 is an apocalyptic number.

105561061111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105561061111 is a deficient number, since it is larger than the sum of its proper divisors (17510001929).

105561061111 is a wasteful number, since it uses less digits than its factorization.

105561061111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275814.

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 105561061111 in words is "one hundred five billion, five hundred sixty-one million, sixty-one thousand, one hundred eleven".