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105840893 is a prime number
BaseRepresentation
bin1100100111100…
…00000011111101
321101011021102002
412103300003331
5204043402033
614300312045
72423430014
oct623600375
9241137362
10105840893
1154820914
122b542625
1318c0a262
14100b1a7b
15945a3e8
hex64f00fd

105840893 has 2 divisors, whose sum is σ = 105840894. Its totient is φ = 105840892.

The previous prime is 105840877. The next prime is 105840937. The reversal of 105840893 is 398048501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84143929 + 21696964 = 9173^2 + 4658^2 .

It is a cyclic number.

It is not a de Polignac number, because 105840893 - 24 = 105840877 is a prime.

It is a super-2 number, since 2×1058408932 = 22404589262074898, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105848893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52920446 + 52920447.

It is an arithmetic number, because the mean of its divisors is an integer number (52920447).

Almost surely, 2105840893 is an apocalyptic number.

It is an amenable number.

105840893 is a deficient number, since it is larger than the sum of its proper divisors (1).

105840893 is an equidigital number, since it uses as much as digits as its factorization.

105840893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 105840893 is about 10287.9003202792. The cubic root of 105840893 is about 473.0254401256.

It can be divided in two parts, 1058408 and 93, that added together give a palindrome (1058501).

The spelling of 105840893 in words is "one hundred five million, eight hundred forty thousand, eight hundred ninety-three".