105605105511 has 16 divisors (see below), whose sum is σ = 142600853120. Its totient is φ = 69510947040.

The previous prime is 105605105509. The next prime is 105605105519. The reversal of 105605105511 is 115501506501.

It is not a de Polignac number, because 105605105511 - 2¹ = 105605105509 is a prime.

It is a super-2 number, since 2×105605105511² (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 (105605105519) 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, 478045 + ... + 663126.

It is an arithmetic number, because the mean of its divisors is an integer number (8912553320).

Almost surely, 2^105605105511 is an apocalyptic number.

105605105511 is a deficient number, since it is larger than the sum of its proper divisors (36995747609).

105605105511 is a wasteful number, since it uses less digits than its factorization.

105605105511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141566.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105605105511 in words is "one hundred five billion, six hundred five million, one hundred five thousand, five hundred eleven".