Is 102102089 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 102 102 089 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 102 102 089, the only two divisors are 1 and 102 102 089. Therefore 102 102 089 is a prime number.
As a consequence, 102 102 089 is only a multiple of 1 and 102 102 089.
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Since 102102089 is a prime number, 102102089 is also a deficient number, that is to say 102102089 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 102102089 without 102102089 itself (that is 1, by definition!).