12105610642 has 16 divisors (see below), whose sum is σ = 18702967680. Its totient is φ = 5872231728.

The previous prime is 12105610589. The next prime is 12105610661. The reversal of 12105610642 is 24601650121.

12105610642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12105610642.

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 7 ways as a sum of consecutive naturals, for example, 210042 + ... + 261397.

It is an arithmetic number, because the mean of its divisors is an integer number (1168935480).

Almost surely, 2^12105610642 is an apocalyptic number.

12105610642 is a deficient number, since it is larger than the sum of its proper divisors (6597357038).

12105610642 is a wasteful number, since it uses less digits than its factorization.

12105610642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471825.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 12105610642 in words is "twelve billion, one hundred five million, six hundred ten thousand, six hundred forty-two".