100221984 has 36 divisors (see below), whose sum is σ = 285007086. Its totient is φ = 33407232.

The previous prime is 100221983. The next prime is 100222009. The reversal of 100221984 is 489122001.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 6906384 = 9660^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100221983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173709 + ... + 174284.

Almost surely, 2^100221984 is an apocalyptic number.

It is an amenable number.

100221984 is an abundant number, since it is smaller than the sum of its proper divisors (184785102).

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

100221984 is a wasteful number, since it uses less digits than its factorization.

100221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348009 (or 347998 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100221984 is about 10011.0930472152. The cubic root of 100221984 is about 464.5020823560.

Adding to 100221984 its reverse (489122001), we get a palindrome (589343985).

The spelling of 100221984 in words is "one hundred million, two hundred twenty-one thousand, nine hundred eighty-four".