109405939200 has 240 divisors, whose sum is σ = 362005163520. Its totient is φ = 29127352320.

The previous prime is 109405939199. The next prime is 109405939259. The reversal of 109405939200 is 2939504901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27914841 + ... + 27918759.

It is an arithmetic number, because the mean of its divisors is an integer number (1508354848).

Almost surely, 2^109405939200 is an apocalyptic number.

109405939200 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 109405939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181002581760).

109405939200 is an abundant number, since it is smaller than the sum of its proper divisors (252599224320).

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

109405939200 is an equidigital number, since it uses as much as digits as its factorization.

109405939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 109405939200 in words is "one hundred nine billion, four hundred five million, nine hundred thirty-nine thousand, two hundred".