10206 has 28 divisors (see below), whose sum is σ = 26232. Its totient is φ = 2916.

The previous prime is 10193. The next prime is 10211. The reversal of 10206 is 60201.

10206 = 49² + 50² + ... + 52².

It is a Harshad number since it is a multiple of its sum of digits (9).

10206 is a Rhonda number in base 4.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1455 + ... + 1461.

2¹⁰²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116).

10206 is an abundant number, since it is smaller than the sum of its proper divisors (16026).

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

10206 is an frugal number, since it uses more digits than its factorization.

10206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10206 is about 101.0247494429. The cubic root of 10206 is about 21.6912803776.

Adding to 10206 its reverse (60201), we get a palindrome (70407).

It can be divided in two parts, 10 and 206, that added together give a cube (216 = 6³).

The spelling of 10206 in words is "ten thousand, two hundred six".