66001100 has 72 divisors (see below), whose sum is σ = 161708400. Its totient is φ = 23161600.

The previous prime is 66001063. The next prime is 66001127. The reversal of 66001100 is 110066.

It is a super-2 number, since 2×66001100² = 8712290402420000, which contains 22 as substring.

It is a zygodrome in base 10.

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, 30866 + ... + 32934.

It is an arithmetic number, because the mean of its divisors is an integer number (2245950).

Almost surely, 2^66001100 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 66001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80854200).

66001100 is an abundant number, since it is smaller than the sum of its proper divisors (95707300).

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

66001100 is a wasteful number, since it uses less digits than its factorization.

66001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 66001100 is about 8124.1061046739. The cubic root of 66001100 is about 404.1262471831.

Adding to 66001100 its reverse (110066), we get a palindrome (66111166).

The spelling of 66001100 in words is "sixty-six million, one thousand, one hundred".