102663 has 24 divisors (see below), whose sum is σ = 174096. Its totient is φ = 57600.

The previous prime is 102653. The next prime is 102667. The reversal of 102663 is 366201.

It is a happy number.

102663 is a `hidden beast` number, since 1 + 0 + 2 + 663 = 666.

It is not a de Polignac number, because 102663 - 2⁴ = 102647 is a prime.

102663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2¹⁰²⁶⁶³ is an apocalyptic number.

102663 is a deficient number, since it is larger than the sum of its proper divisors (71433).

102663 is a wasteful number, since it uses less digits than its factorization.

102663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102663 is about 320.4106739795. The cubic root of 102663 is about 46.8243025214.

Adding to 102663 its reverse (366201), we get a palindrome (468864).

It can be divided in two parts, 1026 and 63, that added together give a square (1089 = 33²).

The spelling of 102663 in words is "one hundred two thousand, six hundred sixty-three".