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105098393 is a prime number
BaseRepresentation
bin1100100001110…
…10110010011001
321022202112220002
412100322302121
5203401122033
614232342345
72414215211
oct620726231
9238675802
10105098393
1154363a84
122b2449b5
1318a0a2ca
14dd5b241
1593603e8
hex643ac99

105098393 has 2 divisors, whose sum is σ = 105098394. Its totient is φ = 105098392.

The previous prime is 105098381. The next prime is 105098429. The reversal of 105098393 is 393890501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68095504 + 37002889 = 8252^2 + 6083^2 .

It is a cyclic number.

It is not a de Polignac number, because 105098393 - 28 = 105098137 is a prime.

It is a super-2 number, since 2×1050983932 = 22091344422364898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105098333) 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, 52549196 + 52549197.

It is an arithmetic number, because the mean of its divisors is an integer number (52549197).

Almost surely, 2105098393 is an apocalyptic number.

It is an amenable number.

105098393 is a deficient number, since it is larger than the sum of its proper divisors (1).

105098393 is an equidigital number, since it uses as much as digits as its factorization.

105098393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 105098393 is about 10251.7507285341. The cubic root of 105098393 is about 471.9167133161.

The spelling of 105098393 in words is "one hundred five million, ninety-eight thousand, three hundred ninety-three".