505605000105 has 16 divisors (see below), whose sum is σ = 898853333760. Its totient is φ = 269655999984.

The previous prime is 505605000097. The next prime is 505605000119. The reversal of 505605000105 is 501000506505.

505605000105 is a `hidden beast` number, since 5 + 0 + 56 + 0 + 500 + 0 + 105 = 666.

It is not a de Polignac number, because 505605000105 - 2³ = 505605000097 is a prime.

It is a super-2 number, since 2×505605000105² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 1872610977 + ... + 1872611246.

It is an arithmetic number, because the mean of its divisors is an integer number (56178333360).

Almost surely, 2^505605000105 is an apocalyptic number.

It is an amenable number.

505605000105 is a deficient number, since it is larger than the sum of its proper divisors (393248333655).

505605000105 is a wasteful number, since it uses less digits than its factorization.

505605000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745222237 (or 3745222231 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 505605000105 in words is "five hundred five billion, six hundred five million, one hundred five", and thus it is an aban number.