506056100105 has 32 divisors (see below), whose sum is σ = 635849180928. Its totient is φ = 385913651200.

The previous prime is 506056100089. The next prime is 506056100159. The reversal of 506056100105 is 501001650605.

It is not a de Polignac number, because 506056100105 - 2⁴ = 506056100089 is a prime.

It is a super-2 number, since 2×506056100105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 42963977 + ... + 42975753.

It is an arithmetic number, because the mean of its divisors is an integer number (19870286904).

Almost surely, 2^506056100105 is an apocalyptic number.

It is an amenable number.

506056100105 is a deficient number, since it is larger than the sum of its proper divisors (129793080823).

506056100105 is a wasteful number, since it uses less digits than its factorization.

506056100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 506056100105 in words is "five hundred six billion, fifty-six million, one hundred thousand, one hundred five".