12628105105 has 48 divisors (see below), whose sum is σ = 19077996672. Its totient is φ = 7854739200.

The previous prime is 12628105073. The next prime is 12628105117. The reversal of 12628105105 is 50150182621.

12628105105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12628105105 - 2⁵ = 12628105073 is a prime.

It is a super-2 number, since 2×12628105105² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2076349 + ... + 2082421.

It is an arithmetic number, because the mean of its divisors is an integer number (397458264).

Almost surely, 2^12628105105 is an apocalyptic number.

It is an amenable number.

12628105105 is a deficient number, since it is larger than the sum of its proper divisors (6449891567).

12628105105 is a wasteful number, since it uses less digits than its factorization.

12628105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

Adding to 12628105105 its reverse (50150182621), we get a palindrome (62778287726).

The spelling of 12628105105 in words is "twelve billion, six hundred twenty-eight million, one hundred five thousand, one hundred five".