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105319 is a prime number
BaseRepresentation
bin11001101101100111
312100110201
4121231213
511332234
62131331
7616024
oct315547
9170421
10105319
1172145
1250b47
1338c26
142a54b
1521314
hex19b67

105319 has 2 divisors, whose sum is σ = 105320. Its totient is φ = 105318.

The previous prime is 105277. The next prime is 105323. The reversal of 105319 is 913501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105319 - 213 = 97127 is a prime.

It is a super-2 number, since 2×1053192 = 22184183522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105296 and 105305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52659 + 52660.

It is an arithmetic number, because the mean of its divisors is an integer number (52660).

2105319 is an apocalyptic number.

105319 is a deficient number, since it is larger than the sum of its proper divisors (1).

105319 is an equidigital number, since it uses as much as digits as its factorization.

105319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 105319 is about 324.5288893150. The cubic root of 105319 is about 47.2246675140.

It can be divided in two parts, 105 and 319, that added together give a palindrome (424).

The spelling of 105319 in words is "one hundred five thousand, three hundred nineteen".