268981100 has 54 divisors (see below), whose sum is σ = 616109004. Its totient is φ = 101916000.

The previous prime is 268981099. The next prime is 268981169. The reversal of 268981100 is 1189862.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32375 + ... + 39825.

It is an arithmetic number, because the mean of its divisors is an integer number (11409426).

Almost surely, 2^268981100 is an apocalyptic number.

268981100 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 268981100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308054502).

268981100 is an abundant number, since it is smaller than the sum of its proper divisors (347127904).

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

268981100 is a wasteful number, since it uses less digits than its factorization.

268981100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 268981100 is about 16400.6432800668. The cubic root of 268981100 is about 645.5163623445.

The spelling of 268981100 in words is "two hundred sixty-eight million, nine hundred eighty-one thousand, one hundred".