103284 has 36 divisors (see below), whose sum is σ = 276640. Its totient is φ = 32400.

The previous prime is 103237. The next prime is 103289. The reversal of 103284 is 482301.

It is a happy number.

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 (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103284.

It is not an unprimeable number, because it can be changed into a prime (103289) 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, 609 + ... + 759.

2¹⁰³²⁸⁴ 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 103284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138320).

103284 is an abundant number, since it is smaller than the sum of its proper divisors (173356).

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

103284 is a wasteful number, since it uses less digits than its factorization.

103284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

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

The square root of 103284 is about 321.3782817802. The cubic root of 103284 is about 46.9185249066.

Adding to 103284 its reverse (482301), we get a palindrome (585585).

The spelling of 103284 in words is "one hundred three thousand, two hundred eighty-four".