22105003337 has 2 divisors, whose sum is σ = 22105003338. Its totient is φ = 22105003336.

The previous prime is 22105003279. The next prime is 22105003379. The reversal of 22105003337 is 73330050122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21508862281 + 596141056 = 146659^2 + 24416^2 .

It is a cyclic number.

It is not a de Polignac number, because 22105003337 - 2¹⁰ = 22105002313 is a prime.

It is a super-2 number, since 2×22105003337² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22105005337) 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 as a sum of consecutive naturals, namely, 11052501668 + 11052501669.

It is an arithmetic number, because the mean of its divisors is an integer number (11052501669).

Almost surely, 2^22105003337 is an apocalyptic number.

It is an amenable number.

22105003337 is a deficient number, since it is larger than the sum of its proper divisors (1).

22105003337 is an equidigital number, since it uses as much as digits as its factorization.

22105003337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

Adding to 22105003337 its reverse (73330050122), we get a palindrome (95435053459).

The spelling of 22105003337 in words is "twenty-two billion, one hundred five million, three thousand, three hundred thirty-seven".