Is 100108909 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 100 108 909 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 100 108 909, the only two divisors are 1 and 100 108 909. Therefore 100 108 909 is a prime number.
As a consequence, 100 108 909 is only a multiple of 1 and 100 108 909.
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Since 100108909 is a prime number, 100108909 is also a deficient number, that is to say 100108909 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 100108909 without 100108909 itself (that is 1, by definition!).