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105334121 is a prime number
BaseRepresentation
bin1100100011101…
…00010101101001
321100012112020202
412101310111221
5203431142441
614241401545
72416216364
oct621642551
9240175222
10105334121
11545050a2
122b3392b5
1318a906a9
14ddbd0db
1593aa19b
hex6474569

105334121 has 2 divisors, whose sum is σ = 105334122. Its totient is φ = 105334120.

The previous prime is 105334069. The next prime is 105334123. The reversal of 105334121 is 121433501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82101721 + 23232400 = 9061^2 + 4820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105334121 is a prime.

It is a super-2 number, since 2×1053341212 = 22190554093685282, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105334123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105334093 and 105334102.

It is not a weakly prime, because it can be changed into another prime (105334123) 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, 52667060 + 52667061.

It is an arithmetic number, because the mean of its divisors is an integer number (52667061).

Almost surely, 2105334121 is an apocalyptic number.

It is an amenable number.

105334121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105334121 is an equidigital number, since it uses as much as digits as its factorization.

105334121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105334121 is about 10263.2412521581. The cubic root of 105334121 is about 472.2692747353.

Adding to 105334121 its reverse (121433501), we get a palindrome (226767622).

The spelling of 105334121 in words is "one hundred five million, three hundred thirty-four thousand, one hundred twenty-one".