212544100 has 36 divisors (see below), whose sum is σ = 468119344. Its totient is φ = 83746080.

The previous prime is 212544083. The next prime is 212544113. The reversal of 212544100 is 1445212.

212544100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9162 + ... + 22561.

Almost surely, 2^212544100 is an apocalyptic number.

212544100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212544100 is an abundant number, since it is smaller than the sum of its proper divisors (255575244).

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

212544100 is a wasteful number, since it uses less digits than its factorization.

212544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31804 (or 31797 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212544100 is about 14578.8922761642. The cubic root of 212544100 is about 596.7828735858.

Adding to 212544100 its reverse (1445212), we get a palindrome (213989312).

It can be divided in two parts, 2125 and 44100, that added together give a square (46225 = 215²).

The spelling of 212544100 in words is "two hundred twelve million, five hundred forty-four thousand, one hundred".