109231200 has 288 divisors, whose sum is σ = 426535200. Its totient is φ = 26818560.

The previous prime is 109231169. The next prime is 109231201. The reversal of 109231200 is 2132901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109231201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280606 + ... + 280994.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^109231200 is an apocalyptic number.

109231200 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 109231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

109231200 is an abundant number, since it is smaller than the sum of its proper divisors (317304000).

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

109231200 is a wasteful number, since it uses less digits than its factorization.

109231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 109231200 is about 10451.3731155289. The cubic root of 109231200 is about 478.0231193920.

The spelling of 109231200 in words is "one hundred nine million, two hundred thirty-one thousand, two hundred".