## Christian Goldbach was born on this day 327 years ago.

### Properties of the number 99300:

99300 = 2^{2}× 3 × 5

^{2}× 331 is the 89767

^{th}composite number and is not squarefree.

99300 has 4 distinct prime factors, 36 divisors, 13 antidivisors and 26400 totatives.

99300 has a semiprime digit sum 21 in base 10.

99300 has a Fibonacci digit sum 21 in base 10.

99300 has a triangular digit sum 21 in base 10.

99300 = 24826

^{2}- 24824

^{2}= 8278

^{2}- 8272

^{2}= 4970

^{2}- 4960

^{2}= 1670

^{2}- 1640

^{2}= 1018

^{2}- 968

^{2}= 406

^{2}- 256

^{2}is the difference of 2 nonnegative squares in 6 ways.

99300 is the difference of 2 positive pentagonal numbers in 3 ways.

99300 = 44

^{2}+ 50

^{2}+ 308

^{2}is the sum of 3 positive squares.

99300

^{2}= 59580

^{2}+ 79440

^{2}= 27804

^{2}+ 95328

^{2}is the sum of 2 positive squares in 2 ways.

99300

^{2}is the sum of 3 positive squares.

99300 is a divisor of 181

^{10}- 1.

99300 is palindromic in (at least) base 29.

99300 in base 29 = 4224 and consists of only the digits '2' and '4'.

99300 in base 47 = iia and consists of only the digits 'a' and 'i'.

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