109924227200 has 72 divisors (see below), whose sum is σ = 271593531615. Its totient is φ = 43962188800.

The previous prime is 109924227137. The next prime is 109924227227. The reversal of 109924227200 is 2722429901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 34545426496 + 75378800704 = 185864^2 + 274552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=234440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18752270 + ... + 18758130.

Almost surely, 2^109924227200 is an apocalyptic number.

109924227200 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 109924227200

109924227200 is an abundant number, since it is smaller than the sum of its proper divisors (161669304415).

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

109924227200 is an frugal number, since it uses more digits than its factorization.

109924227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 109924227200 in words is "one hundred nine billion, nine hundred twenty-four million, two hundred twenty-seven thousand, two hundred".