108097200 has 120 divisors (see below), whose sum is σ = 384784400. Its totient is φ = 28823040.

The previous prime is 108097189. The next prime is 108097207. The reversal of 108097200 is 2790801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108097207) 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, 5796 + ... + 15804.

Almost surely, 2^108097200 is an apocalyptic number.

108097200 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 108097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192392200).

108097200 is an abundant number, since it is smaller than the sum of its proper divisors (276687200).

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

108097200 is a wasteful number, since it uses less digits than its factorization.

108097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 108097200 is about 10396.9803308461. The cubic root of 108097200 is about 476.3631388467.

The spelling of 108097200 in words is "one hundred eight million, ninety-seven thousand, two hundred".