Search a number
-
+
105204353 is a prime number
BaseRepresentation
bin1100100010101…
…00101010000001
321022221221020112
412101110222001
5203413014403
614234521105
72415136142
oct621245201
9238857215
10105204353
1154426651
122b296195
1318a465c7
14dd87ac9
1593819d8
hex6454a81

105204353 has 2 divisors, whose sum is σ = 105204354. Its totient is φ = 105204352.

The previous prime is 105204343. The next prime is 105204361. The reversal of 105204353 is 353402501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61340224 + 43864129 = 7832^2 + 6623^2 .

It is a cyclic number.

It is not a de Polignac number, because 105204353 - 26 = 105204289 is a prime.

It is a super-2 number, since 2×1052043532 = 22135911780297218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105204343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602176 + 52602177.

It is an arithmetic number, because the mean of its divisors is an integer number (52602177).

Almost surely, 2105204353 is an apocalyptic number.

It is an amenable number.

105204353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204353 is an equidigital number, since it uses as much as digits as its factorization.

105204353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 105204353 is about 10256.9173244206. The cubic root of 105204353 is about 472.0752552252.

Adding to 105204353 its reverse (353402501), we get a palindrome (458606854).

The spelling of 105204353 in words is "one hundred five million, two hundred four thousand, three hundred fifty-three".