66216100 has 36 divisors (see below), whose sum is σ = 145848304. Its totient is φ = 26088480.

The previous prime is 66216097. The next prime is 66216109. The reversal of 66216100 is 161266.

It is not an unprimeable number, because it can be changed into a prime (66216109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759 + ... + 11641.

Almost surely, 2^66216100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72924152).

66216100 is an abundant number, since it is smaller than the sum of its proper divisors (79632204).

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

66216100 is a wasteful number, since it uses less digits than its factorization.

66216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 66216100 is about 8137.3275711378. The cubic root of 66216100 is about 404.5645882003.

Adding to 66216100 its reverse (161266), we get a palindrome (66377366).

It can be divided in two parts, 6621 and 6100, that added together give a palindrome (12721).

The spelling of 66216100 in words is "sixty-six million, two hundred sixteen thousand, one hundred".