Is 108097637 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 108 097 637 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 108 097 637, the only two divisors are 1 and 108 097 637. Therefore 108 097 637 is a prime number.
As a consequence, 108 097 637 is only a multiple of 1 and 108 097 637.
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Since 108097637 is a prime number, 108097637 is also a deficient number, that is to say 108097637 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 108097637 without 108097637 itself (that is 1, by definition!).