102258 has 48 divisors (see below), whose sum is σ = 262080. Its totient is φ = 28512.

The previous prime is 102253. The next prime is 102259. The reversal of 102258 is 852201.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102258.

It is not an unprimeable number, because it can be changed into a prime (102251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2¹⁰²²⁵⁸ is an apocalyptic number.

102258 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 102258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

102258 is an abundant number, since it is smaller than the sum of its proper divisors (159822).

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

102258 is a wasteful number, since it uses less digits than its factorization.

102258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102258 is about 319.7780480271. The cubic root of 102258 is about 46.7626482597.

Adding to 102258 its reverse (852201), we get a palindrome (954459).

The spelling of 102258 in words is "one hundred two thousand, two hundred fifty-eight".