The Mathematical Significance of Donation Amounts

1,729 is the “taxicab number”; the smallest number that is the sum of two cubes in two different ways: 1000+729 = 1728+1

17,290 is 10 times the taxicab number.

36,100 is the sum of the first 19 cubes.

50,021 is a prime number, meaning that it has no factors except one and itself.

65,537 is the largest known Fermat prime — that is, the largest known prime number of the form 2^(2^n)+1 — and it is conjecturally the largest that exists.  Therefore, as shown by Gauss, a 65,537-sided regular polygon is constructible by straightedge and compass!  And 65,537 is likely the largest prime for which this is true.  The only other known Fermat primes are 3, 5, 17, and 257.  65,537 is also commonly used as a public exponent in cryptography because of its special properties.

109,376 is an automorphic number; if you multiply it by itself any number of times, the same six digits remain at the end.