102768 has 20 divisors (see below), whose sum is σ = 265608. Its totient is φ = 34240.

The previous prime is 102763. The next prime is 102769. The reversal of 102768 is 867201.

It is a super-2 number, since 2×102768² = 21122523648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 102768.

It is not an unprimeable number, because it can be changed into a prime (102761) 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 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1118.

2¹⁰²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

102768 is an abundant number, since it is smaller than the sum of its proper divisors (162840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102768 is a wasteful number, since it uses less digits than its factorization.

102768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102768 is about 320.5744843246. The cubic root of 102768 is about 46.8402604828.

Adding to 102768 its reverse (867201), we get a palindrome (969969).

The spelling of 102768 in words is "one hundred two thousand, seven hundred sixty-eight".