105506011105 has 24 divisors (see below), whose sum is σ = 139384348992. Its totient is φ = 76609764000.

The previous prime is 105506011067. The next prime is 105506011123. The reversal of 105506011105 is 501110605501.

It is not a de Polignac number, because 105506011105 - 2⁷ = 105506010977 is a prime.

It is a super-2 number, since 2×105506011105² (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 105506011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243570 + ... + 519940.

It is an arithmetic number, because the mean of its divisors is an integer number (5807681208).

Almost surely, 2^105506011105 is an apocalyptic number.

It is an amenable number.

105506011105 is a deficient number, since it is larger than the sum of its proper divisors (33878337887).

105506011105 is a wasteful number, since it uses less digits than its factorization.

105506011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277029 (or 277018 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 105506011105 its reverse (501110605501), we get a palindrome (606616616606).

The spelling of 105506011105 in words is "one hundred five billion, five hundred six million, eleven thousand, one hundred five".