27106000321 has 9 divisors (see below), whose sum is σ = 27567859683. Its totient is φ = 26651761320.

The previous prime is 27106000309. The next prime is 27106000331. The reversal of 27106000321 is 12300060172.

The square root of 27106000321 is 164639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 881436721 + 26224563600 = 29689^2 + 161940^2 .

It is not a de Polignac number, because 27106000321 - 2¹³ = 27105992129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27106000292 and 27106000301.

It is not an unprimeable number, because it can be changed into a prime (27106000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10041630 + ... + 10044328.

Almost surely, 2^27106000321 is an apocalyptic number.

27106000321 is the 164639-th square number.

27106000321 is the 82320-th centered octagonal number.

It is an amenable number.

27106000321 is a deficient number, since it is larger than the sum of its proper divisors (461859362).

27106000321 is an frugal number, since it uses more digits than its factorization.

27106000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 27106000321 its reverse (12300060172), we get a palindrome (39406060493).

The spelling of 27106000321 in words is "twenty-seven billion, one hundred six million, three hundred twenty-one", and thus it is an aban number.