Search a number
-
+
105643793 is a prime number
BaseRepresentation
bin1100100101111…
…11111100010001
321100210021001002
412102333330101
5204021100133
614252151345
72421646253
oct622777421
9240707032
10105643793
11546a6822
122b468555
1318b6b628
141005dcd3
15941bce8
hex64bff11

105643793 has 2 divisors, whose sum is σ = 105643794. Its totient is φ = 105643792.

The previous prime is 105643739. The next prime is 105643799. The reversal of 105643793 is 397346501.

It is a happy number.

Together with previous prime (105643739) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84419344 + 21224449 = 9188^2 + 4607^2 .

It is an emirp because it is prime and its reverse (397346501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105643793 - 210 = 105642769 is a prime.

It is a super-2 number, since 2×1056437932 = 22321221998853698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105643799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52821896 + 52821897.

It is an arithmetic number, because the mean of its divisors is an integer number (52821897).

Almost surely, 2105643793 is an apocalyptic number.

It is an amenable number.

105643793 is a deficient number, since it is larger than the sum of its proper divisors (1).

105643793 is an equidigital number, since it uses as much as digits as its factorization.

105643793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 105643793 is about 10278.3166423301. The cubic root of 105643793 is about 472.7316304097.

The spelling of 105643793 in words is "one hundred five million, six hundred forty-three thousand, seven hundred ninety-three".