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105345349 is a prime number
BaseRepresentation
bin1100100011101…
…11000101000101
321100020002122121
412101313011011
5203432022344
614241525541
72416264204
oct621670505
9240202577
10105345349
115451257a
122b3438b1
1318a95835
14ddc323b
1593ad684
hex6477145

105345349 has 2 divisors, whose sum is σ = 105345350. Its totient is φ = 105345348.

The previous prime is 105345293. The next prime is 105345389. The reversal of 105345349 is 943543501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102880449 + 2464900 = 10143^2 + 1570^2 .

It is an emirp because it is prime and its reverse (943543501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105345349 - 213 = 105337157 is a prime.

It is a super-2 number, since 2×1053453492 = 22195285111863602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105345389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672674 + 52672675.

It is an arithmetic number, because the mean of its divisors is an integer number (52672675).

Almost surely, 2105345349 is an apocalyptic number.

It is an amenable number.

105345349 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345349 is an equidigital number, since it uses as much as digits as its factorization.

105345349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 105345349 is about 10263.7882382676. The cubic root of 105345349 is about 472.2860545181.

The spelling of 105345349 in words is "one hundred five million, three hundred forty-five thousand, three hundred forty-nine".