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105524551393 is a prime number
BaseRepresentation
bin110001001000111000…
…0001101111011100001
3101002101012001122001021
41202101300031323201
53212103241121033
6120251033205441
710423665613222
oct1422160157341
9332335048037
10105524551393
1140830949358
121854bb60881
139c4923b371
145170a69249
152b29258b2d
hex1891c0dee1

105524551393 has 2 divisors, whose sum is σ = 105524551394. Its totient is φ = 105524551392.

The previous prime is 105524551339. The next prime is 105524551399. The reversal of 105524551393 is 393155425501.

Together with previous prime (105524551339) 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., 73228148449 + 32296402944 = 270607^2 + 179712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105524551393 is a prime.

It is a super-2 number, since 2×1055245513932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105524551399) 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, 52762275696 + 52762275697.

It is an arithmetic number, because the mean of its divisors is an integer number (52762275697).

Almost surely, 2105524551393 is an apocalyptic number.

It is an amenable number.

105524551393 is a deficient number, since it is larger than the sum of its proper divisors (1).

105524551393 is an equidigital number, since it uses as much as digits as its factorization.

105524551393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405000, while the sum is 43.

Adding to 105524551393 its reverse (393155425501), we get a palindrome (498679976894).

The spelling of 105524551393 in words is "one hundred five billion, five hundred twenty-four million, five hundred fifty-one thousand, three hundred ninety-three".