66105291 has 16 divisors (see below), whose sum is σ = 101265408. Its totient is φ = 37574400.

The previous prime is 66105271. The next prime is 66105293. The reversal of 66105291 is 19250166.

It is not a de Polignac number, because 66105291 - 2¹⁴ = 66088907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66105293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (6329088).

Almost surely, 2^66105291 is an apocalyptic number.

66105291 is a deficient number, since it is larger than the sum of its proper divisors (35160117).

66105291 is a wasteful number, since it uses less digits than its factorization.

66105291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 66105291 is about 8130.5160352834. The cubic root of 66105291 is about 404.3387900070.

The spelling of 66105291 in words is "sixty-six million, one hundred five thousand, two hundred ninety-one".