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105344021 is a prime number
BaseRepresentation
bin1100100011101…
…10110000010101
321100020000211102
412101312300111
5203432002041
614241515445
72416260266
oct621666025
9240200742
10105344021
1154511582
122b342b85
1318a95053
14ddc296d
1593ad09b
hex6476c15

105344021 has 2 divisors, whose sum is σ = 105344022. Its totient is φ = 105344020.

The previous prime is 105344003. The next prime is 105344027. The reversal of 105344021 is 120443501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85192900 + 20151121 = 9230^2 + 4489^2 .

It is an emirp because it is prime and its reverse (120443501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105344021 - 26 = 105343957 is a prime.

It is a super-2 number, since 2×1053440212 = 22194725520896882, which contains 22 as substring.

It is a Sophie Germain prime.

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 = 105343984 and 105344002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105344027) 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, 52672010 + 52672011.

It is an arithmetic number, because the mean of its divisors is an integer number (52672011).

Almost surely, 2105344021 is an apocalyptic number.

It is an amenable number.

105344021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344021 is an equidigital number, since it uses as much as digits as its factorization.

105344021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105344021 is about 10263.7235446012. The cubic root of 105344021 is about 472.2840699391.

Adding to 105344021 its reverse (120443501), we get a palindrome (225787522).

The spelling of 105344021 in words is "one hundred five million, three hundred forty-four thousand, twenty-one".