108842800 has 120 divisors (see below), whose sum is σ = 295449840. Its totient is φ = 38169600.

The previous prime is 108842759. The next prime is 108842807. The reversal of 108842800 is 8248801.

It is a super-2 number, since 2×108842800² = 23693510223680000, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (108842807) 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, 127174 + ... + 128026.

It is an arithmetic number, because the mean of its divisors is an integer number (2462082).

Almost surely, 2^108842800 is an apocalyptic number.

108842800 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 108842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147724920).

108842800 is an abundant number, since it is smaller than the sum of its proper divisors (186607040).

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

108842800 is a wasteful number, since it uses less digits than its factorization.

108842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 108842800 is about 10432.7752779402. The cubic root of 108842800 is about 477.4558679277.

The spelling of 108842800 in words is "one hundred eight million, eight hundred forty-two thousand, eight hundred".