1066106621 has 2 divisors, whose sum is σ = 1066106622. Its totient is φ = 1066106620.

The previous prime is 1066106609. The next prime is 1066106623. The reversal of 1066106621 is 1266016601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 847392100 + 218714521 = 29110^2 + 14789^2 .

It is a cyclic number.

It is not a de Polignac number, because 1066106621 - 2¹⁰ = 1066105597 is a prime.

It is a super-2 number, since 2×1066106621² = 2273166654680075282, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1066106623, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1066106623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533053310 + 533053311.

It is an arithmetic number, because the mean of its divisors is an integer number (533053311).

Almost surely, 2^1066106621 is an apocalyptic number.

It is an amenable number.

1066106621 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066106621 is an equidigital number, since it uses as much as digits as its factorization.

1066106621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1066106621 is about 32651.2881981707. The cubic root of 1066106621 is about 1021.5670584375.

The spelling of 1066106621 in words is "one billion, sixty-six million, one hundred six thousand, six hundred twenty-one".