213105200 has 360 divisors, whose sum is σ = 699392736. Its totient is φ = 60825600.

The previous prime is 213105133. The next prime is 213105203. The reversal of 213105200 is 2501312.

It is a happy number.

213105200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (213105203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5759582 + ... + 5759618.

Almost surely, 2^213105200 is an apocalyptic number.

213105200 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 213105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349696368).

213105200 is an abundant number, since it is smaller than the sum of its proper divisors (486287536).

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

213105200 is a wasteful number, since it uses less digits than its factorization.

213105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 213105200 is about 14598.1231670376. The cubic root of 213105200 is about 597.3075656977.

Adding to 213105200 its reverse (2501312), we get a palindrome (215606512).

The spelling of 213105200 in words is "two hundred thirteen million, one hundred five thousand, two hundred".