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105831361 is a prime number
BaseRepresentation
bin1100100111011…
…01101111000001
321101010210100001
412103231233001
5204043100421
614300200001
72423360146
oct623555701
9241123301
10105831361
1154814739
122b539001
1318c05b0c
14100ac3cd
159457691
hex64edbc1

105831361 has 2 divisors, whose sum is σ = 105831362. Its totient is φ = 105831360.

The previous prime is 105831347. The next prime is 105831379. The reversal of 105831361 is 163138501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78216336 + 27615025 = 8844^2 + 5255^2 .

It is a cyclic number.

It is not a de Polignac number, because 105831361 - 27 = 105831233 is a prime.

It is a super-2 number, since 2×1058313612 = 22400553942224642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105831461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52915680 + 52915681.

It is an arithmetic number, because the mean of its divisors is an integer number (52915681).

Almost surely, 2105831361 is an apocalyptic number.

It is an amenable number.

105831361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105831361 is an equidigital number, since it uses as much as digits as its factorization.

105831361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105831361 is about 10287.4370471950. The cubic root of 105831361 is about 473.0112395215.

Adding to 105831361 its reverse (163138501), we get a palindrome (268969862).

The spelling of 105831361 in words is "one hundred five million, eight hundred thirty-one thousand, three hundred sixty-one".