10505506106 has 32 divisors (see below), whose sum is σ = 16700644800. Its totient is φ = 4942512000.

The previous prime is 10505506061. The next prime is 10505506111. The reversal of 10505506106 is 60160550501.

10505506106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505506106² (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 15 ways as a sum of consecutive naturals, for example, 3899696 + ... + 3902388.

It is an arithmetic number, because the mean of its divisors is an integer number (521895150).

Almost surely, 2^10505506106 is an apocalyptic number.

10505506106 is a deficient number, since it is larger than the sum of its proper divisors (6195138694).

10505506106 is a wasteful number, since it uses less digits than its factorization.

10505506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10505506106 in words is "ten billion, five hundred five million, five hundred six thousand, one hundred six".