6005105106005 has 16 divisors (see below), whose sum is σ = 7308126374400. Its totient is φ = 4736093281920.

The previous prime is 6005105105959. The next prime is 6005105106029. The reversal of 6005105106005 is 5006015015006.

It is not a de Polignac number, because 6005105106005 - 2³² = 6000810138709 is a prime.

It is a super-2 number, since 2×6005105106005² (a number of 26 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4619081 + ... + 5774609.

It is an arithmetic number, because the mean of its divisors is an integer number (456757898400).

Almost surely, 2^{6005105106005} is an apocalyptic number.

It is an amenable number.

6005105106005 is a deficient number, since it is larger than the sum of its proper divisors (1303021268395).

6005105106005 is a wasteful number, since it uses less digits than its factorization.

6005105106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170244.

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

Subtracting from 6005105106005 its reverse (5006015015006), we obtain a palindrome (999090090999).

The spelling of 6005105106005 in words is "six trillion, five billion, one hundred five million, one hundred six thousand, five".