10006642206 has 64 divisors (see below), whose sum is σ = 24304147200. Its totient is φ = 3026613600.

The previous prime is 10006642199. The next prime is 10006642211. The reversal of 10006642206 is 60224660001.

It is a happy number.

10006642206 is a `hidden beast` number, since 10 + 0 + 0 + 6 + 642 + 2 + 0 + 6 = 666.

10006642206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10006642206.

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 31 ways as a sum of consecutive naturals, for example, 305785 + ... + 336923.

It is an arithmetic number, because the mean of its divisors is an integer number (379752300).

Almost surely, 2^10006642206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006642206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152073600).

10006642206 is an abundant number, since it is smaller than the sum of its proper divisors (14297504994).

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

10006642206 is a wasteful number, since it uses less digits than its factorization.

10006642206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31702 (or 31696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10006642206 in words is "ten billion, six million, six hundred forty-two thousand, two hundred six".