21805100 has 72 divisors (see below), whose sum is σ = 50100960. Its totient is φ = 8225280.

The previous prime is 21805079. The next prime is 21805117. The reversal of 21805100 is 150812.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 211649 + ... + 211751.

Almost surely, 2^21805100 is an apocalyptic number.

21805100 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 21805100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050480).

21805100 is an abundant number, since it is smaller than the sum of its proper divisors (28295860).

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

21805100 is a wasteful number, since it uses less digits than its factorization.

21805100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 21805100 is about 4669.5931300275. The cubic root of 21805100 is about 279.3740267755.

Adding to 21805100 its reverse (150812), we get a palindrome (21955912).

The spelling of 21805100 in words is "twenty-one million, eight hundred five thousand, one hundred".