Is 109401667 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 109 401 667 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 109 401 667, the only two divisors are 1 and 109 401 667. Therefore 109 401 667 is a prime number.
As a consequence, 109 401 667 is only a multiple of 1 and 109 401 667.
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Since 109401667 is a prime number, 109401667 is also a deficient number, that is to say 109401667 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 109401667 without 109401667 itself (that is 1, by definition!).