505110110105 has 16 divisors (see below), whose sum is σ = 632505767040. Its totient is φ = 386506779648.

The previous prime is 505110110081. The next prime is 505110110107. The reversal of 505110110105 is 501011011505.

It is a cyclic number.

It is not a de Polignac number, because 505110110105 - 2⁸ = 505110109849 is a prime.

It is a super-2 number, since 2×505110110105² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505110110107) by changing a digit.

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, 5496626 + ... + 5587764.

It is an arithmetic number, because the mean of its divisors is an integer number (39531610440).

Almost surely, 2^505110110105 is an apocalyptic number.

It is an amenable number.

505110110105 is a deficient number, since it is larger than the sum of its proper divisors (127395656935).

505110110105 is a wasteful number, since it uses less digits than its factorization.

505110110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139360.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 505110110105 in words is "five hundred five billion, one hundred ten million, one hundred ten thousand, one hundred five".