105330289 has 2 divisors, whose sum is σ = 105330290. Its totient is φ = 105330288.

The previous prime is 105330229. The next prime is 105330301. The reversal of 105330289 is 982033501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 984064 = 10215^2 + 992^2 .

It is an emirp because it is prime and its reverse (982033501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105330289 - 2¹¹ = 105328241 is a prime.

It is a super-2 number, since 2×105330289² = 22188939561647042, which contains 22 as substring.

It is equal to p_6050578 and since 105330289 and 6050578 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105330289.

It is not a weakly prime, because it can be changed into another prime (105330229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52665144 + 52665145.

It is an arithmetic number, because the mean of its divisors is an integer number (52665145).

Almost surely, 2^105330289 is an apocalyptic number.

It is an amenable number.

105330289 is a deficient number, since it is larger than the sum of its proper divisors (1).

105330289 is an equidigital number, since it uses as much as digits as its factorization.

105330289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105330289 is about 10263.0545647970. The cubic root of 105330289 is about 472.2635476965.

The spelling of 105330289 in words is "one hundred five million, three hundred thirty thousand, two hundred eighty-nine".