105102289 has 2 divisors, whose sum is σ = 105102290. Its totient is φ = 105102288.

The previous prime is 105102287. The next prime is 105102299. The reversal of 105102289 is 982201501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94245264 + 10857025 = 9708^2 + 3295^2 .

It is a cyclic number.

It is not a de Polignac number, because 105102289 - 2¹ = 105102287 is a prime.

It is a super-2 number, since 2×105102289² = 22092982306079042, which contains 22 as substring.

Together with 105102287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105102287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551144 + 52551145.

It is an arithmetic number, because the mean of its divisors is an integer number (52551145).

Almost surely, 2^105102289 is an apocalyptic number.

It is an amenable number.

105102289 is a deficient number, since it is larger than the sum of its proper divisors (1).

105102289 is an equidigital number, since it uses as much as digits as its factorization.

105102289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105102289 is about 10251.9407430984. The cubic root of 105102289 is about 471.9225445654.

The spelling of 105102289 in words is "one hundred five million, one hundred two thousand, two hundred eighty-nine".