Is 102107381 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 102 107 381 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 102 107 381, the only two divisors are 1 and 102 107 381. Therefore 102 107 381 is a prime number.
As a consequence, 102 107 381 is only a multiple of 1 and 102 107 381.
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Since 102107381 is a prime number, 102107381 is also a deficient number, that is to say 102107381 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 102107381 without 102107381 itself (that is 1, by definition!).