102984 has 32 divisors (see below), whose sum is σ = 294720. Its totient is φ = 29376.

The previous prime is 102983. The next prime is 103001. The reversal of 102984 is 489201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102984.

It is not an unprimeable number, because it can be changed into a prime (102983) 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, 139 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

2¹⁰²⁹⁸⁴ is an apocalyptic number.

102984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102984 is an abundant number, since it is smaller than the sum of its proper divisors (191736).

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

102984 is a wasteful number, since it uses less digits than its factorization.

102984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102984 is about 320.9112026714. The cubic root of 102984 is about 46.8730541414.

It can be divided in two parts, 1029 and 84, that multiplied together give a square (86436 = 294²).

The spelling of 102984 in words is "one hundred two thousand, nine hundred eighty-four".