268100 has 36 divisors (see below), whose sum is σ = 666624. Its totient is φ = 91680.

The previous prime is 268091. The next prime is 268123. The reversal of 268100 is 1862.

It is a super-2 number, since 2×268100² = 143755220000, which contains 22 as substring.

It is an unprimeable number.

268100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 509 + ... + 891.

2²⁶⁸¹⁰⁰ is an apocalyptic number.

268100 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 268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

268100 is an abundant number, since it is smaller than the sum of its proper divisors (398524).

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

268100 is a wasteful number, since it uses less digits than its factorization.

268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 268100 is about 517.7837386400. The cubic root of 268100 is about 64.4810753125.

Adding to 268100 its reverse (1862), we get a palindrome (269962).

The spelling of 268100 in words is "two hundred sixty-eight thousand, one hundred".