20984100 has 72 divisors (see below), whose sum is σ = 61350240. Its totient is φ = 5537280.

The previous prime is 20984071. The next prime is 20984123. The reversal of 20984100 is 148902.

It is an unprimeable 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 in 23 ways as a sum of consecutive naturals, for example, 33591 + ... + 34209.

Almost surely, 2^20984100 is an apocalyptic number.

20984100 is a gapful number since it is divisible by the number (20) 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 20984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675120).

20984100 is an abundant number, since it is smaller than the sum of its proper divisors (40366140).

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

20984100 is a wasteful number, since it uses less digits than its factorization.

20984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

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

The square root of 20984100 is about 4580.8405342251. The cubic root of 20984100 is about 275.8227700663.

The spelling of 20984100 in words is "twenty million, nine hundred eighty-four thousand, one hundred".