108973200 has 120 divisors (see below), whose sum is σ = 398976448. Its totient is φ = 24906240.

The previous prime is 108973199. The next prime is 108973217. The reversal of 108973200 is 2379801.

It is a happy number.

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 (30).

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, 1914 + ... + 14886.

Almost surely, 2^108973200 is an apocalyptic number.

108973200 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 108973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199488224).

108973200 is an abundant number, since it is smaller than the sum of its proper divisors (290003248).

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

108973200 is a wasteful number, since it uses less digits than its factorization.

108973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13001 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 108973200 is about 10439.0229427854. The cubic root of 108973200 is about 477.6464651251.

The spelling of 108973200 in words is "one hundred eight million, nine hundred seventy-three thousand, two hundred".