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105373 is a prime number
BaseRepresentation
bin11001101110011101
312100112201
4121232131
511332443
62131501
7616132
oct315635
9170481
10105373
1172194
1250b91
1338c68
142a589
152134d
hex19b9d

105373 has 2 divisors, whose sum is σ = 105374. Its totient is φ = 105372.

The previous prime is 105367. The next prime is 105379. The reversal of 105373 is 373501.

It is a balanced prime because it is at equal distance from previous prime (105367) and next prime (105379).

It can be written as a sum of positive squares in only one way, i.e., 66564 + 38809 = 258^2 + 197^2 .

It is an emirp because it is prime and its reverse (373501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105373 - 25 = 105341 is a prime.

It is a super-2 number, since 2×1053732 = 22206938258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105379) 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, 52686 + 52687.

It is an arithmetic number, because the mean of its divisors is an integer number (52687).

2105373 is an apocalyptic number.

It is an amenable number.

105373 is a deficient number, since it is larger than the sum of its proper divisors (1).

105373 is an equidigital number, since it uses as much as digits as its factorization.

105373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 105373 is about 324.6120761771. The cubic root of 105373 is about 47.2327372714.

Adding to 105373 its reverse (373501), we get a palindrome (478874).

The spelling of 105373 in words is "one hundred five thousand, three hundred seventy-three".