248100 has 36 divisors (see below), whose sum is σ = 718704. Its totient is φ = 66080.

The previous prime is 248099. The next prime is 248117. The reversal of 248100 is 1842.

It is a super-2 number, since 2×248100² = 123107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 248100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (19964).

2²⁴⁸¹⁰⁰ is an apocalyptic number.

248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352).

248100 is an abundant number, since it is smaller than the sum of its proper divisors (470604).

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

248100 is a wasteful number, since it uses less digits than its factorization.

248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 248100 is about 498.0963762165. The cubic root of 248100 is about 62.8360564847.

Adding to 248100 its reverse (1842), we get a palindrome (249942).

The spelling of 248100 in words is "two hundred forty-eight thousand, one hundred".