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105835841 is a prime number
BaseRepresentation
bin1100100111011…
…10110101000001
321101011000110222
412103232311001
5204043221331
614300232425
72423406206
oct623566501
9241130428
10105835841
1154818041
122b53b715
1318c07b77
14100adcad
159458b7b
hex64eed41

105835841 has 2 divisors, whose sum is σ = 105835842. Its totient is φ = 105835840.

The previous prime is 105835837. The next prime is 105835843. The reversal of 105835841 is 148538501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70492816 + 35343025 = 8396^2 + 5945^2 .

It is a cyclic number.

It is not a de Polignac number, because 105835841 - 22 = 105835837 is a prime.

It is a super-2 number, since 2×1058358412 = 22402450480354562, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105835843, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105835843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52917920 + 52917921.

It is an arithmetic number, because the mean of its divisors is an integer number (52917921).

Almost surely, 2105835841 is an apocalyptic number.

It is an amenable number.

105835841 is a deficient number, since it is larger than the sum of its proper divisors (1).

105835841 is an equidigital number, since it uses as much as digits as its factorization.

105835841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 105835841 is about 10287.6547861988. The cubic root of 105835841 is about 473.0179138521.

The spelling of 105835841 in words is "one hundred five million, eight hundred thirty-five thousand, eight hundred forty-one".