102208 has 14 divisors (see below), whose sum is σ = 202946. Its totient is φ = 51072.

The previous prime is 102203. The next prime is 102217. The reversal of 102208 is 802201.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 28224 = 272^2 + 168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203) by changing a digit.

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 as a sum of consecutive naturals, namely, 735 + ... + 862.

2¹⁰²²⁰⁸ is an apocalyptic number.

It is an amenable number.

102208 is a deficient number, since it is larger than the sum of its proper divisors (100738).

102208 is an equidigital number, since it uses as much as digits as its factorization.

102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102208 is about 319.6998592430. The cubic root of 102208 is about 46.7550253399.

Adding to 102208 its reverse (802201), we get a palindrome (904409).

The spelling of 102208 in words is "one hundred two thousand, two hundred eight".