102787 has 8 divisors (see below), whose sum is σ = 110880. Its totient is φ = 95040.

The previous prime is 102769. The next prime is 102793. The reversal of 102787 is 787201.

It is a happy number.

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 102787 - 2¹⁵ = 70019 is a prime.

It is a Duffinian number.

102787 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (102797) 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 7 ways as a sum of consecutive naturals, for example, 889 + ... + 997.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁰²⁷⁸⁷ is an apocalyptic number.

102787 is a deficient number, since it is larger than the sum of its proper divisors (8093).

102787 is a wasteful number, since it uses less digits than its factorization.

102787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 102787 is about 320.6041172537. The cubic root of 102787 is about 46.8431469523.

Adding to 102787 its reverse (787201), we get a palindrome (889988).

The spelling of 102787 in words is "one hundred two thousand, seven hundred eighty-seven".