Search a number
-
+
105805489 is a prime number
BaseRepresentation
bin1100100111001…
…11011010110001
321101002110211211
412103213122301
5204041233424
614255440121
72423221546
oct623473261
9241073754
10105805489
11547a7259
122b526041
1318bc70ca
14100a2bcd
15944eb94
hex64e76b1

105805489 has 2 divisors, whose sum is σ = 105805490. Its totient is φ = 105805488.

The previous prime is 105805487. The next prime is 105805517. The reversal of 105805489 is 984508501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 1459264 = 10215^2 + 1208^2 .

It is a cyclic number.

It is not a de Polignac number, because 105805489 - 21 = 105805487 is a prime.

It is a super-2 number, since 2×1058054892 = 22389603005058242, which contains 22 as substring.

Together with 105805487, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105805481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52902744 + 52902745.

It is an arithmetic number, because the mean of its divisors is an integer number (52902745).

Almost surely, 2105805489 is an apocalyptic number.

It is an amenable number.

105805489 is a deficient number, since it is larger than the sum of its proper divisors (1).

105805489 is an equidigital number, since it uses as much as digits as its factorization.

105805489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 105805489 is about 10286.1795142803. The cubic root of 105805489 is about 472.9726915775.

The spelling of 105805489 in words is "one hundred five million, eight hundred five thousand, four hundred eighty-nine".