6005010105006 has 48 divisors (see below), whose sum is σ = 13216501810512. Its totient is φ = 1817576506240.

The previous prime is 6005010105001. The next prime is 6005010105007.

6005010105006 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6005010105006² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005010105001) 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 23 ways as a sum of consecutive naturals, for example, 4203585 + ... + 5447948.

It is an arithmetic number, because the mean of its divisors is an integer number (275343787719).

Almost surely, 2^{6005010105006} is an apocalyptic number.

6005010105006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6005010105006 is an abundant number, since it is smaller than the sum of its proper divisors (7211491705506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005010105006 is a wasteful number, since it uses less digits than its factorization.

6005010105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652417 (or 9652406 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 6005010105006 in words is "six trillion, five billion, ten million, one hundred five thousand, six".