10505004666 has 32 divisors (see below), whose sum is σ = 23178028608. Its totient is φ = 3153471360.

The previous prime is 10505004661. The next prime is 10505004721. The reversal of 10505004666 is 66640050501.

10505004666 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 2×10505004666² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505004661) by changing a digit.

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, 1639236 + ... + 1645631.

It is an arithmetic number, because the mean of its divisors is an integer number (724313394).

Almost surely, 2^10505004666 is an apocalyptic number.

10505004666 is an abundant number, since it is smaller than the sum of its proper divisors (12673023942).

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

10505004666 is a wasteful number, since it uses less digits than its factorization.

10505004666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284926.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10505004666 in words is "ten billion, five hundred five million, four thousand, six hundred sixty-six".