102204 has 36 divisors (see below), whose sum is σ = 275184. Its totient is φ = 31872.

The previous prime is 102203. The next prime is 102217. The reversal of 102204 is 402201.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁰²²⁰⁴ 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 102204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

102204 is an abundant number, since it is smaller than the sum of its proper divisors (172980).

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

102204 is a wasteful number, since it uses less digits than its factorization.

102204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102204 is about 319.6936033142. The cubic root of 102204 is about 46.7544153989.

Adding to 102204 its reverse (402201), we get a palindrome (504405).

The spelling of 102204 in words is "one hundred two thousand, two hundred four", and thus it is an iban number.