109224000 has 336 divisors, whose sum is σ = 411059376. Its totient is φ = 27648000.

The previous prime is 109223993. The next prime is 109224019. The reversal of 109224000 is 422901.

It can be written as a sum of positive squares in 8 ways, for example, as 41062464 + 68161536 = 6408^2 + 8256^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663980 + ... + 2664020.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391).

Almost surely, 2^109224000 is an apocalyptic number.

109224000 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 109224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205529688).

109224000 is an abundant number, since it is smaller than the sum of its proper divisors (301835376).

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

109224000 is a wasteful number, since it uses less digits than its factorization.

109224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109224000 is about 10451.0286575054. The cubic root of 109224000 is about 478.0126161595.

Adding to 109224000 its reverse (422901), we get a palindrome (109646901).

The spelling of 109224000 in words is "one hundred nine million, two hundred twenty-four thousand".