66350100 has 72 divisors (see below), whose sum is σ = 194897248. Its totient is φ = 17424000.

The previous prime is 66350083. The next prime is 66350107. The reversal of 66350100 is 105366.

66350100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66350107) 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, 18450 + ... + 21750.

Almost surely, 2^66350100 is an apocalyptic number.

66350100 is a gapful number since it is divisible by the number (60) 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 66350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97448624).

66350100 is an abundant number, since it is smaller than the sum of its proper divisors (128547148).

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

66350100 is a wasteful number, since it uses less digits than its factorization.

66350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 66350100 is about 8145.5570711892. The cubic root of 66350100 is about 404.8373070049.

Adding to 66350100 its reverse (105366), we get a palindrome (66455466).

The spelling of 66350100 in words is "sixty-six million, three hundred fifty thousand, one hundred".