21103200567684 has 81 divisors (see below), whose sum is σ = 53474178497103. Its totient is φ = 7017301983744.

The previous prime is 21103200567619. The next prime is 21103200567697. The reversal of 21103200567684 is 48676500230112.

The square root of 21103200567684 is 4593822.

It is a perfect power (a square), and thus also a powerful number.

21103200567684 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 3 + 2 + 0 + 0 + 567 + 6 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11271664728900 + 9831535838784 = 3357330^2 + 3135528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16896076692 + ... + 16896077940.

Almost surely, 2^{21103200567684} is an apocalyptic number.

21103200567684 is the 4593822-nd square number.

It is an amenable number.

21103200567684 is an abundant number, since it is smaller than the sum of its proper divisors (32370977929419).

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

21103200567684 is an frugal number, since it uses more digits than its factorization.

21103200567684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 21103200567684 its reverse (48676500230112), we get a palindrome (69779700797796).

The spelling of 21103200567684 in words is "twenty-one trillion, one hundred three billion, two hundred million, five hundred sixty-seven thousand, six hundred eighty-four".