10208 has 24 divisors (see below), whose sum is σ = 22680. Its totient is φ = 4480.

The previous prime is 10193. The next prime is 10211. The reversal of 10208 is 80201.

10208 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 (11).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable 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, 338 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2¹⁰²⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

10208 is an abundant number, since it is smaller than the sum of its proper divisors (12472).

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

10208 is a wasteful number, since it uses less digits than its factorization.

10208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10208 is about 101.0346475225. The cubic root of 10208 is about 21.6926971823.

Adding to 10208 its reverse (80201), we get a palindrome (90409).

It can be divided in two parts, 10 and 208, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 10208 in words is "ten thousand, two hundred eight".