102438 has 32 divisors (see below), whose sum is σ = 261120. Its totient is φ = 29160.

The previous prime is 102437. The next prime is 102451. The reversal of 102438 is 834201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102438.

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 102438.

It is not an unprimeable number, because it can be changed into a prime (102433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (8160).

2¹⁰²⁴³⁸ is an apocalyptic number.

102438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560).

102438 is an abundant number, since it is smaller than the sum of its proper divisors (158682).

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

102438 is a wasteful number, since it uses less digits than its factorization.

102438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102438 is about 320.0593694926. The cubic root of 102438 is about 46.7900702141.

Adding to 102438 its reverse (834201), we get a palindrome (936639).

The spelling of 102438 in words is "one hundred two thousand, four hundred thirty-eight".