66868101 has 12 divisors (see below), whose sum is σ = 96991180. Its totient is φ = 44392320.

The previous prime is 66868091. The next prime is 66868117. The reversal of 66868101 is 10186866.

66868101 = 105² + 106² + ... + 586².

It can be written as a sum of positive squares in 2 ways, for example, as 55130625 + 11737476 = 7425^2 + 3426^2 .

It is not a de Polignac number, because 66868101 - 2¹⁰ = 66867077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66868001) 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, 13246 + ... + 17583.

Almost surely, 2^66868101 is an apocalyptic number.

It is an amenable number.

66868101 is a deficient number, since it is larger than the sum of its proper divisors (30123079).

66868101 is a wasteful number, since it uses less digits than its factorization.

66868101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31076 (or 31073 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 66868101 is about 8177.2917888504. The cubic root of 66868101 is about 405.8881105118. Note that the first 3 decimals are identical.

The spelling of 66868101 in words is "sixty-six million, eight hundred sixty-eight thousand, one hundred one".