212105320 has 48 divisors (see below), whose sum is σ = 555158340. Its totient is φ = 72721152.

The previous prime is 212105297. The next prime is 212105323. The reversal of 212105320 is 23501212.

It can be written as a sum of positive squares in 2 ways, for example, as 198753604 + 13351716 = 14098^2 + 3654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212105294 and 212105303.

It is not an unprimeable number, because it can be changed into a prime (212105323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52149 + ... + 56068.

Almost surely, 2^212105320 is an apocalyptic number.

212105320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212105320 is an abundant number, since it is smaller than the sum of its proper divisors (343053020).

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

212105320 is a wasteful number, since it uses less digits than its factorization.

212105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108242 (or 108231 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 212105320 is about 14563.8360331336. The cubic root of 212105320 is about 596.3719207687.

Adding to 212105320 its reverse (23501212), we get a palindrome (235606532).

The spelling of 212105320 in words is "two hundred twelve million, one hundred five thousand, three hundred twenty".