268801007100 has 72 divisors (see below), whose sum is σ = 778246939008. Its totient is φ = 71632708800.

The previous prime is 268801007089. The next prime is 268801007117. The reversal of 268801007100 is 1700108862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156807 + ... + 749793.

It is an arithmetic number, because the mean of its divisors is an integer number (10808985264).

Almost surely, 2^268801007100 is an apocalyptic number.

268801007100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268801007100 is an abundant number, since it is smaller than the sum of its proper divisors (509445931908).

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

268801007100 is a wasteful number, since it uses less digits than its factorization.

268801007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594515 (or 594508 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 268801007100 in words is "two hundred sixty-eight billion, eight hundred one million, seven thousand, one hundred".