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105326364457 is a prime number
BaseRepresentation
bin110001000010111110…
…0001100011100101001
3101001212101010200200101
41202011330030130221
53211202022130312
6120215233305401
710416041216566
oct1420574143451
9331771120611
10105326364457
1140739a945a6
12184b5705261
139c1716a3a2
1451525d986d
152b16b5ba57
hex1885f0c729

105326364457 has 2 divisors, whose sum is σ = 105326364458. Its totient is φ = 105326364456.

The previous prime is 105326364443. The next prime is 105326364461. The reversal of 105326364457 is 754463623501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99853472016 + 5472892441 = 315996^2 + 73979^2 .

It is a cyclic number.

It is not a de Polignac number, because 105326364457 - 223 = 105317975849 is a prime.

It is a super-2 number, since 2×1053263644572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105326364467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52663182228 + 52663182229.

It is an arithmetic number, because the mean of its divisors is an integer number (52663182229).

Almost surely, 2105326364457 is an apocalyptic number.

It is an amenable number.

105326364457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105326364457 is an equidigital number, since it uses as much as digits as its factorization.

105326364457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 46.

Adding to 105326364457 its reverse (754463623501), we get a palindrome (859789987958).

The spelling of 105326364457 in words is "one hundred five billion, three hundred twenty-six million, three hundred sixty-four thousand, four hundred fifty-seven".