66066100 has 18 divisors (see below), whose sum is σ = 143363654. Its totient is φ = 26426400.

The previous prime is 66066079. The next prime is 66066101. The reversal of 66066100 is 166066.

66066100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15968016 + 50098084 = 3996^2 + 7078^2 .

It is a super-4 number, since 4×66066100⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66066101) 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 5 ways as a sum of consecutive naturals, for example, 330231 + ... + 330430.

Almost surely, 2^66066100 is an apocalyptic number.

It is an amenable number.

66066100 is an abundant number, since it is smaller than the sum of its proper divisors (77297554).

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

66066100 is a wasteful number, since it uses less digits than its factorization.

66066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660675 (or 660668 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 66066100 is about 8128.1055603382. The cubic root of 66066100 is about 404.2588691521.

It can be divided in two parts, 66066 and 100, that added together give a palindrome (66166).

The spelling of 66066100 in words is "sixty-six million, sixty-six thousand, one hundred".