107872800 has 144 divisors (see below), whose sum is σ = 401349312. Its totient is φ = 24652800.

The previous prime is 107872753. The next prime is 107872801. The reversal of 107872800 is 8278701.

It is not an unprimeable number, because it can be changed into a prime (107872801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13590 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (2787148).

Almost surely, 2^107872800 is an apocalyptic number.

107872800 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 107872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

107872800 is an abundant number, since it is smaller than the sum of its proper divisors (293476512).

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

107872800 is a wasteful number, since it uses less digits than its factorization.

107872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 107872800 is about 10386.1831295236. The cubic root of 107872800 is about 476.0332815747.

The spelling of 107872800 in words is "one hundred seven million, eight hundred seventy-two thousand, eight hundred".