268316100 has 432 divisors, whose sum is σ = 1023684480. Its totient is φ = 58060800.

The previous prime is 268316077. The next prime is 268316107. The reversal of 268316100 is 1613862.

268316100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268316107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779065 + ... + 3779135.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^268316100 is an apocalyptic number.

268316100 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 268316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

268316100 is an abundant number, since it is smaller than the sum of its proper divisors (755368380).

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

268316100 is a wasteful number, since it uses less digits than its factorization.

268316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 268316100 is about 16380.3571389637. The cubic root of 268316100 is about 644.9839548920.

Adding to 268316100 its reverse (1613862), we get a palindrome (269929962).

The spelling of 268316100 in words is "two hundred sixty-eight million, three hundred sixteen thousand, one hundred".