103884 has 24 divisors (see below), whose sum is σ = 264768. Its totient is φ = 31440.

The previous prime is 103867. The next prime is 103889. The reversal of 103884 is 488301.

It is a super-3 number, since 3×103884³ = 3363312686133312, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (103889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (11032).

2¹⁰³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

103884 is an abundant number, since it is smaller than the sum of its proper divisors (160884).

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

103884 is a wasteful number, since it uses less digits than its factorization.

103884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 103884 is about 322.3104093882. The cubic root of 103884 is about 47.0092029662.

The spelling of 103884 in words is "one hundred three thousand, eight hundred eighty-four".