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105327527 is a prime number
BaseRepresentation
bin1100100011100…
…10101110100111
321100012012012112
412101302232213
5203430440102
614241311235
72416161224
oct621625647
9240165175
10105327527
1154500148
122b33551b
1318a8a6a6
14ddba94b
1593a8252
hex6472ba7

105327527 has 2 divisors, whose sum is σ = 105327528. Its totient is φ = 105327526.

The previous prime is 105327487. The next prime is 105327533. The reversal of 105327527 is 725723501.

It is a strong prime.

It is an emirp because it is prime and its reverse (725723501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105327527 - 222 = 101133223 is a prime.

It is a super-2 number, since 2×1053275272 = 22187775887871458, 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 = 105327493 and 105327502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105321527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52663763 + 52663764.

It is an arithmetic number, because the mean of its divisors is an integer number (52663764).

Almost surely, 2105327527 is an apocalyptic number.

105327527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105327527 is an equidigital number, since it uses as much as digits as its factorization.

105327527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 105327527 is about 10262.9200035857. The cubic root of 105327527 is about 472.2594197186.

The spelling of 105327527 in words is "one hundred five million, three hundred twenty-seven thousand, five hundred twenty-seven".