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105355135493 is a prime number
BaseRepresentation
bin110001000011110100…
…1111100101000000101
3101001221101021102010022
41202013221330220011
53211231403313433
6120222142104525
710416540606266
oct1420751745005
9331841242108
10105355135493
1140754255713
121850327b145
139c20101b7a
14515636896d
152b19441698
hex1887a7ca05

105355135493 has 2 divisors, whose sum is σ = 105355135494. Its totient is φ = 105355135492.

The previous prime is 105355135439. The next prime is 105355135507. The reversal of 105355135493 is 394531553501.

It is a happy number.

Together with previous prime (105355135439) 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., 74385471169 + 30969664324 = 272737^2 + 175982^2 .

It is a cyclic number.

It is not a de Polignac number, because 105355135493 - 230 = 104281393669 is a prime.

It is a super-2 number, since 2×1053551354932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105355135433) 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, 52677567746 + 52677567747.

It is an arithmetic number, because the mean of its divisors is an integer number (52677567747).

Almost surely, 2105355135493 is an apocalyptic number.

It is an amenable number.

105355135493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355135493 is an equidigital number, since it uses as much as digits as its factorization.

105355135493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 607500, while the sum is 44.

Adding to 105355135493 its reverse (394531553501), we get a palindrome (499886688994).

The spelling of 105355135493 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-five thousand, four hundred ninety-three".