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105310607 is a prime number
BaseRepresentation
bin1100100011011…
…10100110001111
321100011022222212
412101232212033
5203424414412
614241101035
72416061003
oct621564617
9240138885
10105310607
1154499466
122b32777b
1318a82a8c
14ddb4703
1593a3222
hex646e98f

105310607 has 2 divisors, whose sum is σ = 105310608. Its totient is φ = 105310606.

The previous prime is 105310589. The next prime is 105310609. The reversal of 105310607 is 706013501.

It is a strong prime.

It is an emirp because it is prime and its reverse (706013501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105310607 - 216 = 105245071 is a prime.

It is a super-2 number, since 2×1053106072 = 22180647893416898, which contains 22 as substring.

Together with 105310609, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105310609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52655303 + 52655304.

It is an arithmetic number, because the mean of its divisors is an integer number (52655304).

Almost surely, 2105310607 is an apocalyptic number.

105310607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105310607 is an equidigital number, since it uses as much as digits as its factorization.

105310607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105310607 is about 10262.0956436782. The cubic root of 105310607 is about 472.2341301685.

The spelling of 105310607 in words is "one hundred five million, three hundred ten thousand, six hundred seven".