Search a number
-
+
105020221 is a prime number
BaseRepresentation
bin1100100001001…
…11101100111101
321022121120122211
412100213230331
5203341121341
614230540421
72413441255
oct620475475
9238546584
10105020221
1154310279
122b207711
13189b0857
14dd3a965
159347181
hex6427b3d

105020221 has 2 divisors, whose sum is σ = 105020222. Its totient is φ = 105020220.

The previous prime is 105020213. The next prime is 105020243. The reversal of 105020221 is 122020501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103754596 + 1265625 = 10186^2 + 1125^2 .

It is an emirp because it is prime and its reverse (122020501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105020221 - 23 = 105020213 is a prime.

It is a super-2 number, since 2×1050202212 = 22058493637777682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105020261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52510110 + 52510111.

It is an arithmetic number, because the mean of its divisors is an integer number (52510111).

Almost surely, 2105020221 is an apocalyptic number.

It is an amenable number.

105020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105020221 is an equidigital number, since it uses as much as digits as its factorization.

105020221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105020221 is about 10247.9374022288. The cubic root of 105020221 is about 471.7996806878.

Adding to 105020221 its reverse (122020501), we get a palindrome (227040722).

The spelling of 105020221 in words is "one hundred five million, twenty thousand, two hundred twenty-one".