212102304 has 48 divisors (see below), whose sum is σ = 560867328. Its totient is φ = 70180352.

The previous prime is 212102299. The next prime is 212102321. The reversal of 212102304 is 403201212.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5089 + ... + 21215.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2^212102304 is an apocalyptic number.

212102304 is a gapful number since it is divisible by the number (24) 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 212102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280433664).

212102304 is an abundant number, since it is smaller than the sum of its proper divisors (348765024).

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

212102304 is a wasteful number, since it uses less digits than its factorization.

212102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16277 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212102304 is about 14563.7324886171. The cubic root of 212102304 is about 596.3690940814.

Adding to 212102304 its reverse (403201212), we get a palindrome (615303516).

The spelling of 212102304 in words is "two hundred twelve million, one hundred two thousand, three hundred four".