102805 has 8 divisors (see below), whose sum is σ = 127800. Its totient is φ = 79296.

The previous prime is 102797. The next prime is 102811. The reversal of 102805 is 508201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 101124 = 41^2 + 318^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102805 - 2³ = 102797 is a prime.

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, 210 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (15975).

2¹⁰²⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

102805 is a deficient number, since it is larger than the sum of its proper divisors (24995).

102805 is an equidigital number, since it uses as much as digits as its factorization.

102805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102805 is about 320.6321880286. The cubic root of 102805 is about 46.8458811743.

The spelling of 102805 in words is "one hundred two thousand, eight hundred five".