10006205 has 8 divisors (see below), whose sum is σ = 13099104. Its totient is φ = 7277200.

The previous prime is 10006201. The next prime is 10006207. The reversal of 10006205 is 50260001.

10006205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006205 - 2² = 10006201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90911 + ... + 91020.

It is an arithmetic number, because the mean of its divisors is an integer number (1637388).

Almost surely, 2^10006205 is an apocalyptic number.

It is an amenable number.

10006205 is a deficient number, since it is larger than the sum of its proper divisors (3092899).

10006205 is a wasteful number, since it uses less digits than its factorization.

10006205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181947.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10006205 is about 3163.2586046670. The cubic root of 10006205 is about 215.4880206805.

Adding to 10006205 its reverse (50260001), we get a palindrome (60266206).

The spelling of 10006205 in words is "ten million, six thousand, two hundred five".