216600100 has 72 divisors (see below), whose sum is σ = 490468608. Its totient is φ = 82934400.

The previous prime is 216600091. The next prime is 216600119. The reversal of 216600100 is 1006612.

216600100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331374 + ... + 332026.

It is an arithmetic number, because the mean of its divisors is an integer number (6812064).

Almost surely, 2^216600100 is an apocalyptic number.

216600100 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 216600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245234304).

216600100 is an abundant number, since it is smaller than the sum of its proper divisors (273868508).

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

216600100 is a wasteful number, since it uses less digits than its factorization.

216600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

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

The square root of 216600100 is about 14717.3401129416. The cubic root of 216600100 is about 600.5551343661. Note that the first 3 decimals are identical.

Adding to 216600100 its reverse (1006612), we get a palindrome (217606712).

The spelling of 216600100 in words is "two hundred sixteen million, six hundred thousand, one hundred".