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105442241 is a prime number
BaseRepresentation
bin1100100100011…
…10101111000001
321100102000120012
412102032233001
5203443122431
614243554305
72420146532
oct622165701
9240360505
10105442241
1154579353
122b38b995
1318aca978
141000a689
1593cc22b
hex648ebc1

105442241 has 2 divisors, whose sum is σ = 105442242. Its totient is φ = 105442240.

The previous prime is 105442219. The next prime is 105442247. The reversal of 105442241 is 142244501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92083216 + 13359025 = 9596^2 + 3655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105442241 is a prime.

It is a super-2 number, since 2×1054422412 = 22236132374204162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105442247) 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, 52721120 + 52721121.

It is an arithmetic number, because the mean of its divisors is an integer number (52721121).

Almost surely, 2105442241 is an apocalyptic number.

It is an amenable number.

105442241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105442241 is an equidigital number, since it uses as much as digits as its factorization.

105442241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 105442241 is about 10268.5072430222. The cubic root of 105442241 is about 472.4308061008.

Adding to 105442241 its reverse (142244501), we get a palindrome (247686742).

The spelling of 105442241 in words is "one hundred five million, four hundred forty-two thousand, two hundred forty-one".