12105507006 has 48 divisors (see below), whose sum is σ = 27400988160. Its totient is φ = 3857939280.

The previous prime is 12105506989. The next prime is 12105507019. The reversal of 12105507006 is 60070550121.

12105507006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84376 + ... + 177003.

It is an arithmetic number, because the mean of its divisors is an integer number (570853920).

Almost surely, 2^12105507006 is an apocalyptic number.

12105507006 is an abundant number, since it is smaller than the sum of its proper divisors (15295481154).

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

12105507006 is a wasteful number, since it uses less digits than its factorization.

12105507006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261501 (or 261498 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 12105507006 in words is "twelve billion, one hundred five million, five hundred seven thousand, six".