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105075857 is a prime number
BaseRepresentation
bin1100100001101…
…01010010010001
321022201101222102
412100311102101
5203344411412
614232050145
72414062415
oct620652221
9238641872
10105075857
1154349057
122b233955
13189ccc83
14dd52d45
1593588c2
hex6435491

105075857 has 2 divisors, whose sum is σ = 105075858. Its totient is φ = 105075856.

The previous prime is 105075853. The next prime is 105075889. The reversal of 105075857 is 758570501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 33856 = 10249^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 105075857 - 22 = 105075853 is a prime.

It is a super-3 number, since 3×1050758573 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105075857.

It is not a weakly prime, because it can be changed into another prime (105075853) 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, 52537928 + 52537929.

It is an arithmetic number, because the mean of its divisors is an integer number (52537929).

Almost surely, 2105075857 is an apocalyptic number.

It is an amenable number.

105075857 is a deficient number, since it is larger than the sum of its proper divisors (1).

105075857 is an equidigital number, since it uses as much as digits as its factorization.

105075857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49000, while the sum is 38.

The square root of 105075857 is about 10250.6515402681. The cubic root of 105075857 is about 471.8829802431.

The spelling of 105075857 in words is "one hundred five million, seventy-five thousand, eight hundred fifty-seven".