102384 has 50 divisors (see below), whose sum is σ = 300080. Its totient is φ = 33696.

The previous prime is 102367. The next prime is 102397. The reversal of 102384 is 483201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1257 + ... + 1335.

102384 is a Friedman number, since it can be written as (3*2)^4*(80-1), using all its digits and the basic arithmetic operations.

2¹⁰²³⁸⁴ 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 102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150040).

102384 is an abundant number, since it is smaller than the sum of its proper divisors (197696).

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

102384 is an equidigital number, since it uses as much as digits as its factorization.

102384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102384 is about 319.9749990234. The cubic root of 102384 is about 46.7818470030.

Adding to 102384 its reverse (483201), we get a palindrome (585585).

The spelling of 102384 in words is "one hundred two thousand, three hundred eighty-four".