105005611105 has 16 divisors (see below), whose sum is σ = 127145768400. Its totient is φ = 83247740928.

The previous prime is 105005611097. The next prime is 105005611111. The reversal of 105005611105 is 501116500501.

It can be written as a sum of positive squares in 8 ways, for example, as 26775758689 + 78229852416 = 163633^2 + 279696^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005611105 - 2³ = 105005611097 is a prime.

It is a super-2 number, since 2×105005611105² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005611105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159829 + ... + 485341.

It is an arithmetic number, because the mean of its divisors is an integer number (7946610525).

Almost surely, 2^105005611105 is an apocalyptic number.

It is an amenable number.

105005611105 is a deficient number, since it is larger than the sum of its proper divisors (22140157295).

105005611105 is a wasteful number, since it uses less digits than its factorization.

105005611105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326100.

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

The spelling of 105005611105 in words is "one hundred five billion, five million, six hundred eleven thousand, one hundred five".