100076800 has 108 divisors (see below), whose sum is σ = 261059680. Its totient is φ = 37877760.

The previous prime is 100076791. The next prime is 100076813. The reversal of 100076800 is 8670001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121189 + ... + 122011.

Almost surely, 2^100076800 is an apocalyptic number.

100076800 is a gapful number since it is divisible by the number (10) 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 100076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130529840).

100076800 is an abundant number, since it is smaller than the sum of its proper divisors (160982880).

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

100076800 is an equidigital number, since it uses as much as digits as its factorization.

100076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 100076800 is about 10003.8392630030. The cubic root of 100076800 is about 464.2776776293.

It can be divided in two parts, 10007 and 6800, that added together give a 5-th power (16807 = 7⁵).

The spelling of 100076800 in words is "one hundred million, seventy-six thousand, eight hundred".