216100000 has 72 divisors (see below), whose sum is σ = 532020636. Its totient is φ = 86400000.

The previous prime is 216099953. The next prime is 216100037. The reversal of 216100000 is 1612.

It can be written as a sum of positive squares in 6 ways, for example, as 17740944 + 198359056 = 4212^2 + 14084^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 216100000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98920 + ... + 101080.

Almost surely, 2^216100000 is an apocalyptic number.

216100000 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 216100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266010318).

216100000 is an abundant number, since it is smaller than the sum of its proper divisors (315920636).

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

216100000 is an frugal number, since it uses more digits than its factorization.

216100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 216100000 is about 14700.3401321194. The cubic root of 216100000 is about 600.0925783073.

Adding to 216100000 its reverse (1612), we get a palindrome (216101612).

The spelling of 216100000 in words is "two hundred sixteen million, one hundred thousand".