506011100105 has 12 divisors (see below), whose sum is σ = 706350189060. Its totient is φ = 346979039904.

The previous prime is 506011100087. The next prime is 506011100149. The reversal of 506011100105 is 501001110605.

It can be written as a sum of positive squares in 2 ways, for example, as 391590595984 + 114420504121 = 625772^2 + 338261^2 .

It is not a de Polignac number, because 506011100105 - 2²² = 506006905801 is a prime.

It is a super-2 number, since 2×506011100105² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032675470 + ... + 1032675959.

It is an arithmetic number, because the mean of its divisors is an integer number (58862515755).

Almost surely, 2^506011100105 is an apocalyptic number.

It is an amenable number.

506011100105 is a deficient number, since it is larger than the sum of its proper divisors (200339088955).

506011100105 is a wasteful number, since it uses less digits than its factorization.

506011100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065351448 (or 2065351441 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 506011100105 in words is "five hundred six billion, eleven million, one hundred thousand, one hundred five".