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105337223 is a prime number
BaseRepresentation
bin1100100011101…
…01000110000111
321100012200111122
412101311012013
5203431242343
614241424155
72416231415
oct621650607
9240180448
10105337223
1154507462
122b33b05b
1318a91c24
14ddc02b5
1593ab068
hex6475187

105337223 has 2 divisors, whose sum is σ = 105337224. Its totient is φ = 105337222.

The previous prime is 105337181. The next prime is 105337249. The reversal of 105337223 is 322733501.

It is an a-pointer prime, because the next prime (105337249) can be obtained adding 105337223 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105337223 - 212 = 105333127 is a prime.

It is a super-2 number, since 2×1053372232 = 22191861098703458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105337192 and 105337201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105337123) 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, 52668611 + 52668612.

It is an arithmetic number, because the mean of its divisors is an integer number (52668612).

Almost surely, 2105337223 is an apocalyptic number.

105337223 is a deficient number, since it is larger than the sum of its proper divisors (1).

105337223 is an equidigital number, since it uses as much as digits as its factorization.

105337223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 105337223 is about 10263.3923728950. The cubic root of 105337223 is about 472.2739106656.

The spelling of 105337223 in words is "one hundred five million, three hundred thirty-seven thousand, two hundred twenty-three".