Is 105442331 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 105 442 331 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 105 442 331, the only two divisors are 1 and 105 442 331. Therefore 105 442 331 is a prime number.
As a consequence, 105 442 331 is only a multiple of 1 and 105 442 331.
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Since 105442331 is a prime number, 105442331 is also a deficient number, that is to say 105442331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 105442331 without 105442331 itself (that is 1, by definition!).