106305289 has 2 divisors, whose sum is σ = 106305290. Its totient is φ = 106305288.

The previous prime is 106305257. The next prime is 106305313. The reversal of 106305289 is 982503601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 3485689 = 10140^2 + 1867^2 .

It is an emirp because it is prime and its reverse (982503601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106305289 - 2⁵ = 106305257 is a prime.

It is a super-2 number, since 2×106305289² = 22601628938747042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106305229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53152644 + 53152645.

It is an arithmetic number, because the mean of its divisors is an integer number (53152645).

Almost surely, 2^106305289 is an apocalyptic number.

It is an amenable number.

106305289 is a deficient number, since it is larger than the sum of its proper divisors (1).

106305289 is an equidigital number, since it uses as much as digits as its factorization.

106305289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 106305289 is about 10310.4456256750. The cubic root of 106305289 is about 473.7162588780.

The spelling of 106305289 in words is "one hundred six million, three hundred five thousand, two hundred eighty-nine".