105500605005 has 40 divisors (see below), whose sum is σ = 189176819832. Its totient is φ = 56249966592.

The previous prime is 105500605003. The next prime is 105500605043. The reversal of 105500605005 is 500506005501.

105500605005 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 0 + 605 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6292614276 + 99207990729 = 79326^2 + 314973^2 .

It is not a de Polignac number, because 105500605005 - 2¹ = 105500605003 is a prime.

It is a super-2 number, since 2×105500605005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105500605005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500605003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1362409 + ... + 1437761.

Almost surely, 2^105500605005 is an apocalyptic number.

105500605005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105500605005 is a deficient number, since it is larger than the sum of its proper divisors (83676214827).

105500605005 is an equidigital number, since it uses as much as digits as its factorization.

105500605005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78827 (or 78818 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105500605005 in words is "one hundred five billion, five hundred million, six hundred five thousand, five".