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105183973 is a prime number
BaseRepresentation
bin1100100010011…
…11101011100101
321022220220021201
412101033223211
5203411341343
614234242501
72415022546
oct621175345
9238826251
10105183973
1154412304
122b286431
1318a3a24b
14dd804cd
15937a94d
hex644fae5

105183973 has 2 divisors, whose sum is σ = 105183974. Its totient is φ = 105183972.

The previous prime is 105183937. The next prime is 105183989. The reversal of 105183973 is 379381501.

It is a happy number.

Together with previous prime (105183937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76860289 + 28323684 = 8767^2 + 5322^2 .

It is a cyclic number.

It is not a de Polignac number, because 105183973 - 217 = 105052901 is a prime.

It is a super-2 number, since 2×1051839732 = 22127336352129458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105183073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52591986 + 52591987.

It is an arithmetic number, because the mean of its divisors is an integer number (52591987).

Almost surely, 2105183973 is an apocalyptic number.

It is an amenable number.

105183973 is a deficient number, since it is larger than the sum of its proper divisors (1).

105183973 is an equidigital number, since it uses as much as digits as its factorization.

105183973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105183973 is about 10255.9238004190. The cubic root of 105183973 is about 472.0447700639.

The spelling of 105183973 in words is "one hundred five million, one hundred eighty-three thousand, nine hundred seventy-three".