506105510105 has 16 divisors (see below), whose sum is σ = 654182921280. Its totient is φ = 373660095168.

The previous prime is 506105510017. The next prime is 506105510117. The reversal of 506105510105 is 501015501605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506105510105 - 2⁸ = 506105509849 is a prime.

It is a super-2 number, since 2×506105510105² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 517295 + ... + 1131284.

It is an arithmetic number, because the mean of its divisors is an integer number (40886432580).

Almost surely, 2^506105510105 is an apocalyptic number.

It is an amenable number.

506105510105 is a deficient number, since it is larger than the sum of its proper divisors (148077411175).

506105510105 is a wasteful number, since it uses less digits than its factorization.

506105510105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653320.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 506105510105 in words is "five hundred six billion, one hundred five million, five hundred ten thousand, one hundred five".