66652100 has 36 divisors (see below), whose sum is σ = 146279700. Its totient is φ = 26357760.

The previous prime is 66652099. The next prime is 66652109. The reversal of 66652100 is 125666.

It can be written as a sum of positive squares in 6 ways, for example, as 6061444 + 60590656 = 2462^2 + 7784^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66652100.

It is not an unprimeable number, because it can be changed into a prime (66652109) 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, 5156 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (4063325).

Almost surely, 2^66652100 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 66652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139850).

66652100 is an abundant number, since it is smaller than the sum of its proper divisors (79627600).

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

66652100 is a wasteful number, since it uses less digits than its factorization.

66652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 66652100 is about 8164.0737380305. The cubic root of 66652100 is about 405.4505984173.

Adding to 66652100 its reverse (125666), we get a palindrome (66777766).

The spelling of 66652100 in words is "sixty-six million, six hundred fifty-two thousand, one hundred".