109241143200 has 864 divisors, whose sum is σ = 474258395520. Its totient is φ = 23091609600.

The previous prime is 109241143189. The next prime is 109241143237. The reversal of 109241143200 is 2341142901.

It is a happy number.

109241143200 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 411 + 43 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50550120 + ... + 50552280.

It is an arithmetic number, because the mean of its divisors is an integer number (548910180).

Almost surely, 2^109241143200 is an apocalyptic number.

109241143200 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 109241143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237129197760).

109241143200 is an abundant number, since it is smaller than the sum of its proper divisors (365017252320).

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

109241143200 is a wasteful number, since it uses less digits than its factorization.

109241143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 109241143200 in words is "one hundred nine billion, two hundred forty-one million, one hundred forty-three thousand, two hundred".