102824 has 8 divisors (see below), whose sum is σ = 192810. Its totient is φ = 51408.

The previous prime is 102811. The next prime is 102829. The reversal of 102824 is 428201.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 6724 = 310^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102824.

It is not an unprimeable number, because it can be changed into a prime (102829) 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 as a sum of consecutive naturals, namely, 6419 + ... + 6434.

2¹⁰²⁸²⁴ is an apocalyptic number.

It is an amenable number.

102824 is a deficient number, since it is larger than the sum of its proper divisors (89986).

102824 is a wasteful number, since it uses less digits than its factorization.

102824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 102824 is about 320.6618156251. The cubic root of 102824 is about 46.8487669513.

It can be divided in two parts, 102 and 824, that multiplied together give a palindrome (84048).

The spelling of 102824 in words is "one hundred two thousand, eight hundred twenty-four".