268907100 has 216 divisors, whose sum is σ = 987936768. Its totient is φ = 55843200.

The previous prime is 268907087. The next prime is 268907141. The reversal of 268907100 is 1709862.

It is a super-2 number, since 2×268907100² = 144622056860820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160869 + ... + 162531.

Almost surely, 2^268907100 is an apocalyptic number.

268907100 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 268907100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

268907100 is an abundant number, since it is smaller than the sum of its proper divisors (719029668).

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

268907100 is a wasteful number, since it uses less digits than its factorization.

268907100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 268907100 is about 16398.3871158111. The cubic root of 268907100 is about 645.4571604253.

The spelling of 268907100 in words is "two hundred sixty-eight million, nine hundred seven thousand, one hundred".