102399 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 59360.

The previous prime is 102397. The next prime is 102407. The reversal of 102399 is 993201.

It is a happy number.

It is a Cunningham number, because it is equal to 320²-1.

It is a cyclic number.

It is not a de Polignac number, because 102399 - 2¹ = 102397 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

102399 is a lucky number.

It is a plaindrome in base 13 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹⁰²³⁹⁹ is an apocalyptic number.

102399 is a deficient number, since it is larger than the sum of its proper divisors (53121).

102399 is a wasteful number, since it uses less digits than its factorization.

102399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 102399 is about 319.9984374962. The cubic root of 102399 is about 46.7841315183.

The spelling of 102399 in words is "one hundred two thousand, three hundred ninety-nine".