109023200 has 144 divisors (see below), whose sum is σ = 313011216. Its totient is φ = 36556800.

The previous prime is 109023169. The next prime is 109023241. The reversal of 109023200 is 2320901.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113924 + ... + 114876.

It is an arithmetic number, because the mean of its divisors is an integer number (2173689).

Almost surely, 2^109023200 is an apocalyptic number.

109023200 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 109023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156505608).

109023200 is an abundant number, since it is smaller than the sum of its proper divisors (203988016).

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

109023200 is a wasteful number, since it uses less digits than its factorization.

109023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 109023200 is about 10441.4175282861. The cubic root of 109023200 is about 477.7195065444.

The spelling of 109023200 in words is "one hundred nine million, twenty-three thousand, two hundred".