213612100 has 72 divisors (see below), whose sum is σ = 512802248. Its totient is φ = 76723200.

The previous prime is 213612083. The next prime is 213612107. The reversal of 213612100 is 1216312.

It can be written as a sum of positive squares in 12 ways, for example, as 60248644 + 153363456 = 7762^2 + 12384^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (213612107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45880 + ... + 50320.

Almost surely, 2^213612100 is an apocalyptic number.

213612100 is a gapful number since it is divisible by the number (20) 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 213612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256401124).

213612100 is an abundant number, since it is smaller than the sum of its proper divisors (299190148).

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

213612100 is a wasteful number, since it uses less digits than its factorization.

213612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 213612100 is about 14615.4746758359. The cubic root of 213612100 is about 597.7807833975.

Adding to 213612100 its reverse (1216312), we get a palindrome (214828412).

The spelling of 213612100 in words is "two hundred thirteen million, six hundred twelve thousand, one hundred".