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105351241 is a prime number
BaseRepresentation
bin1100100011110…
…00100001001001
321100020101201211
412101320201021
5203432214431
614242013121
72416320322
oct621704111
9240211654
10105351241
1154516a46
122b3471a1
1318a98418
14ddc5449
1593b02b1
hex6478849

105351241 has 2 divisors, whose sum is σ = 105351242. Its totient is φ = 105351240.

The previous prime is 105351203. The next prime is 105351271. The reversal of 105351241 is 142153501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 24710841 = 8980^2 + 4971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105351241 is a prime.

It is a super-2 number, since 2×1053512412 = 22197767960480162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105351271) 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, 52675620 + 52675621.

It is an arithmetic number, because the mean of its divisors is an integer number (52675621).

Almost surely, 2105351241 is an apocalyptic number.

It is an amenable number.

105351241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105351241 is an equidigital number, since it uses as much as digits as its factorization.

105351241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105351241 is about 10264.0752627794. The cubic root of 105351241 is about 472.2948593921.

The spelling of 105351241 in words is "one hundred five million, three hundred fifty-one thousand, two hundred forty-one".