109434124800 has 2160 divisors, whose sum is σ = 535962892608. Its totient is φ = 20702822400.

The previous prime is 109434124781. The next prime is 109434124817. The reversal of 109434124800 is 8421434901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1499097564 + ... + 1499097636.

Almost surely, 2^109434124800 is an apocalyptic number.

109434124800 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 109434124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267981446304).

109434124800 is an abundant number, since it is smaller than the sum of its proper divisors (426528767808).

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

109434124800 is a wasteful number, since it uses less digits than its factorization.

109434124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 109434124800 in words is "one hundred nine billion, four hundred thirty-four million, one hundred twenty-four thousand, eight hundred".