6005105006 has 32 divisors (see below), whose sum is σ = 9467394048. Its totient is φ = 2851279200.

The previous prime is 6005104999. The next prime is 6005105009. The reversal of 6005105006 is 6005015006.

It is a super-2 number, since 2×6005105006² = 72122572266172520072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005105009) by changing a digit.

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, 5713181 + ... + 5714231.

It is an arithmetic number, because the mean of its divisors is an integer number (295856064).

Almost surely, 2^6005105006 is an apocalyptic number.

6005105006 is a deficient number, since it is larger than the sum of its proper divisors (3462289042).

6005105006 is a wasteful number, since it uses less digits than its factorization.

6005105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 6005105006 is about 77492.6125898463. The cubic root of 6005105006 is about 1817.6358029363.

Subtracting from 6005105006 its reverse (6005015006), we obtain a square (90000 = 300²).

The spelling of 6005105006 in words is "six billion, five million, one hundred five thousand, six".