216420100 has 72 divisors (see below), whose sum is σ = 508427528. Its totient is φ = 79488000.

The previous prime is 216420097. The next prime is 216420103. The reversal of 216420100 is 1024612.

It is an interprime number because it is at equal distance from previous prime (216420097) and next prime (216420103).

It can be written as a sum of positive squares in 12 ways, for example, as 94361796 + 122058304 = 9714^2 + 11048^2 .

It is not an unprimeable number, because it can be changed into a prime (216420103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359800 + ... + 360400.

Almost surely, 2^216420100 is an apocalyptic number.

216420100 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 216420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254213764).

216420100 is an abundant number, since it is smaller than the sum of its proper divisors (292007428).

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

216420100 is a wasteful number, since it uses less digits than its factorization.

216420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 216420100 is about 14711.2236064849. The cubic root of 216420100 is about 600.3887295760.

Adding to 216420100 its reverse (1024612), we get a palindrome (217444712).

The spelling of 216420100 in words is "two hundred sixteen million, four hundred twenty thousand, one hundred".