109406689200 has 960 divisors, whose sum is σ = 440614656000. Its totient is φ = 25619742720.

The previous prime is 109406689199. The next prime is 109406689207. The reversal of 109406689200 is 2986604901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109406689207) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 275583402 + ... + 275583798.

It is an arithmetic number, because the mean of its divisors is an integer number (458973600).

Almost surely, 2^109406689200 is an apocalyptic number.

109406689200 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 109406689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220307328000).

109406689200 is an abundant number, since it is smaller than the sum of its proper divisors (331207966800).

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

109406689200 is a wasteful number, since it uses less digits than its factorization.

109406689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 109406689200 in words is "one hundred nine billion, four hundred six million, six hundred eighty-nine thousand, two hundred".