102304 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 48576.

The previous prime is 102301. The next prime is 102317. The reversal of 102304 is 403201.

It is a super-2 number, since 2×102304² = 20932216832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰²³⁰⁴ 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 102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

102304 is an abundant number, since it is smaller than the sum of its proper divisors (109376).

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

102304 is a wasteful number, since it uses less digits than its factorization.

102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102304 is about 319.8499648273. The cubic root of 102304 is about 46.7696591516.

Adding to 102304 its reverse (403201), we get a palindrome (505505).

It can be divided in two parts, 102 and 304, that added together give a triangular number (406 = T₂₈).

The spelling of 102304 in words is "one hundred two thousand, three hundred four", and thus it is an iban number.