6005106006068 has 48 divisors (see below), whose sum is σ = 11699708679120. Its totient is φ = 2679180364800.

The previous prime is 6005106006061. The next prime is 6005106006127. The reversal of 6005106006068 is 8606006015006.

It can be written as a sum of positive squares in 8 ways, for example, as 2902075788304 + 3103030217764 = 1703548^2 + 1761542^2 .

It is a super-2 number, since 2×6005106006068² (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 (6005106006061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12688043 + ... + 13152818.

It is an arithmetic number, because the mean of its divisors is an integer number (243743930815).

Almost surely, 2^{6005106006068} is an apocalyptic number.

It is an amenable number.

6005106006068 is a deficient number, since it is larger than the sum of its proper divisors (5694602673052).

6005106006068 is a wasteful number, since it uses less digits than its factorization.

6005106006068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25841028 (or 25841026 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 6005106006068 in words is "six trillion, five billion, one hundred six million, six thousand, sixty-eight".