506005000105 has 12 divisors (see below), whose sum is σ = 667424777796. Its totient is φ = 368003636000.

The previous prime is 506005000087. The next prime is 506005000117. The reversal of 506005000105 is 501000500605.

It can be written as a sum of positive squares in 2 ways, for example, as 271674458176 + 234330541929 = 521224^2 + 484077^2 .

It is not a de Polignac number, because 506005000105 - 2⁵ = 506005000073 is a prime.

It is a super-3 number, since 3×506005000105³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418185346 + ... + 418186555.

It is an arithmetic number, because the mean of its divisors is an integer number (55618731483).

Almost surely, 2^506005000105 is an apocalyptic number.

506005000105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506005000105 is a deficient number, since it is larger than the sum of its proper divisors (161419777691).

506005000105 is a wasteful number, since it uses less digits than its factorization.

506005000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836371928 (or 836371917 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 506005000105 in words is "five hundred six billion, five million, one hundred five", and thus it is an aban number.