10266 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 3248.

The previous prime is 10259. The next prime is 10267. The reversal of 10266 is 66201.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁰²⁶⁶ is an apocalyptic number.

10266 is an abundant number, since it is smaller than the sum of its proper divisors (11334).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

10266 is a wasteful number, since it uses less digits than its factorization.

10266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10266 is about 101.3212712119. The cubic root of 10266 is about 21.7337042689.

Adding to 10266 its reverse (66201), we get a palindrome (76467).

It can be divided in two parts, 10 and 266, that added together give a triangular number (276 = T₂₃).

The spelling of 10266 in words is "ten thousand, two hundred sixty-six".