102806 has 8 divisors (see below), whose sum is σ = 168264. Its totient is φ = 46720.

The previous prime is 102797. The next prime is 102811. The reversal of 102806 is 608201.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102806.

It is an unprimeable number.

102806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2315 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (21033).

2¹⁰²⁸⁰⁶ is an apocalyptic number.

102806 is a deficient number, since it is larger than the sum of its proper divisors (65458).

102806 is a wasteful number, since it uses less digits than its factorization.

102806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102806 is about 320.6337474440. The cubic root of 102806 is about 46.8460330662.

The spelling of 102806 in words is "one hundred two thousand, eight hundred six".