102807 has 6 divisors (see below), whose sum is σ = 148512. Its totient is φ = 68532.

The previous prime is 102797. The next prime is 102811. The reversal of 102807 is 708201.

It is not a de Polignac number, because 102807 - 2⁷ = 102679 is a prime.

102807 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 102807.

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 102807.

It is not an unprimeable number, because it can be changed into a prime (102877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5703 + ... + 5720.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2¹⁰²⁸⁰⁷ is an apocalyptic number.

102807 is a deficient number, since it is larger than the sum of its proper divisors (45705).

102807 is a wasteful number, since it uses less digits than its factorization.

102807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102807 is about 320.6353068519. The cubic root of 102807 is about 46.8461849571.

It can be divided in two parts, 102 and 807, that added together give a palindrome (909).

The spelling of 102807 in words is "one hundred two thousand, eight hundred seven".