10066 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 4308.

The previous prime is 10061. The next prime is 10067. The reversal of 10066 is 66001.

10066 is nontrivially palindromic in base 13.

10066 is digitally balanced in base 2, 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 a plaindrome in base 12.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

10066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁰⁰⁶⁶ is an apocalyptic number.

10066 is a deficient number, since it is larger than the sum of its proper divisors (7214).

10066 is an equidigital number, since it uses as much as digits as its factorization.

10066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10066 is about 100.3294572895. The cubic root of 10066 is about 21.5916405695.

Adding to 10066 its reverse (66001), we get a palindrome (76067).

The spelling of 10066 in words is "ten thousand, sixty-six".