Search a number
-
+
105708287 is a prime number
BaseRepresentation
bin1100100110011…
…11101011111111
321100220112111202
412103033223333
5204030131122
614253410115
72422335266
oct623175377
9240815452
10105708287
1154740223
122b49993b
1318b91aa9
14100795dd
159430e92
hex64cfaff

105708287 has 2 divisors, whose sum is σ = 105708288. Its totient is φ = 105708286.

The previous prime is 105708283. The next prime is 105708313. The reversal of 105708287 is 782807501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105708287 - 22 = 105708283 is a prime.

It is a super-2 number, since 2×1057082872 = 22348483880948738, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105708287.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105708283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52854143 + 52854144.

It is an arithmetic number, because the mean of its divisors is an integer number (52854144).

Almost surely, 2105708287 is an apocalyptic number.

105708287 is a deficient number, since it is larger than the sum of its proper divisors (1).

105708287 is an equidigital number, since it uses as much as digits as its factorization.

105708287 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 105708287 is about 10281.4535450976. The cubic root of 105708287 is about 472.8278094366.

The spelling of 105708287 in words is "one hundred five million, seven hundred eight thousand, two hundred eighty-seven".