6000105505506 has 32 divisors (see below), whose sum is σ = 13714712868480. Its totient is φ = 1714292608896.

The previous prime is 6000105505501. The next prime is 6000105505507. The reversal of 6000105505506 is 6055055010006.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6000105505501) 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, 2294280 + ... + 4154988.

It is an arithmetic number, because the mean of its divisors is an integer number (428584777140).

Almost surely, 2^{6000105505506} is an apocalyptic number.

6000105505506 is an abundant number, since it is smaller than the sum of its proper divisors (7714607362974).

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

6000105505506 is a wasteful number, since it uses less digits than its factorization.

6000105505506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937498.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 6000105505506 in words is "six trillion, one hundred five million, five hundred five thousand, five hundred six".