102785 has 8 divisors (see below), whose sum is σ = 125736. Its totient is φ = 80640.

The previous prime is 102769. The next prime is 102793. The reversal of 102785 is 587201.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 101761 = 32^2 + 319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102785 - 2⁴ = 102769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102785.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2¹⁰²⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

102785 is a deficient number, since it is larger than the sum of its proper divisors (22951).

102785 is an equidigital number, since it uses as much as digits as its factorization.

102785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 102785 is about 320.6009981270. The cubic root of 102785 is about 46.8428431302.

Adding to 102785 its reverse (587201), we get a palindrome (689986).

Subtracting 102785 from its reverse (587201), we obtain a square (484416 = 696²).

The spelling of 102785 in words is "one hundred two thousand, seven hundred eighty-five".