102024 has 48 divisors (see below), whose sum is σ = 300300. Its totient is φ = 31104.

The previous prime is 102023. The next prime is 102031. The reversal of 102024 is 420201.

102024 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 900 = 318^2 + 30^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101997 and 102015.

It is not an unprimeable number, because it can be changed into a prime (102023) 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 11 ways as a sum of consecutive naturals, for example, 882 + ... + 990.

2¹⁰²⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150150).

102024 is an abundant number, since it is smaller than the sum of its proper divisors (198276).

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

102024 is a wasteful number, since it uses less digits than its factorization.

102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102024 is about 319.4119597009. The cubic root of 102024 is about 46.7269515677.

Adding to 102024 its reverse (420201), we get a palindrome (522225).

The spelling of 102024 in words is "one hundred two thousand, twenty-four", and thus it is an iban number.