212100306 has 64 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 60091200.

The previous prime is 212100299. The next prime is 212100307. The reversal of 212100306 is 603001212.

It is not an unprimeable number, because it can be changed into a prime (212100307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97996 + ... + 100136.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^212100306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

212100306 is an abundant number, since it is smaller than the sum of its proper divisors (281416494).

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

212100306 is a wasteful number, since it uses less digits than its factorization.

212100306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212100306 is about 14563.6638934026. The cubic root of 212100306 is about 596.3672214801.

Adding to 212100306 its reverse (603001212), we get a palindrome (815101518).

The spelling of 212100306 in words is "two hundred twelve million, one hundred thousand, three hundred six".