102284 has 24 divisors (see below), whose sum is σ = 221088. Its totient is φ = 40320.

The previous prime is 102259. The next prime is 102293. The reversal of 102284 is 482201.

102284 = T₇ + T₈ + ... + T₈₄.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (9212).

2¹⁰²²⁸⁴ is an apocalyptic number.

102284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110544).

102284 is an abundant number, since it is smaller than the sum of its proper divisors (118804).

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

102284 is a wasteful number, since it uses less digits than its factorization.

102284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 102284 is about 319.8186986403. The cubic root of 102284 is about 46.7666111960.

Adding to 102284 its reverse (482201), we get a palindrome (584485).

The spelling of 102284 in words is "one hundred two thousand, two hundred eighty-four".