102789 has 16 divisors (see below), whose sum is σ = 157440. Its totient is φ = 67068.

The previous prime is 102769. The next prime is 102793. The reversal of 102789 is 987201.

It is not a de Polignac number, because 102789 - 2⁸ = 102533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

102789 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102769) 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 15 ways as a sum of consecutive naturals, for example, 2164 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2¹⁰²⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

102789 is a deficient number, since it is larger than the sum of its proper divisors (54651).

102789 is an frugal number, since it uses more digits than its factorization.

102789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102789 is about 320.6072363500. The cubic root of 102789 is about 46.8434507705.

The spelling of 102789 in words is "one hundred two thousand, seven hundred eighty-nine".