101984 has 12 divisors (see below), whose sum is σ = 200844. Its totient is φ = 50976.

The previous prime is 101977. The next prime is 101987. The reversal of 101984 is 489101.

It is a zygodrome in base 2.

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 101984.

It is not an unprimeable number, because it can be changed into a prime (101987) by changing a digit.

101984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (16737).

2¹⁰¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

101984 is a deficient number, since it is larger than the sum of its proper divisors (98860).

101984 is an equidigital number, since it uses as much as digits as its factorization.

101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101984 is about 319.3493384994. The cubic root of 101984 is about 46.7208441081.

The spelling of 101984 in words is "one hundred one thousand, nine hundred eighty-four".