109892370240 has 336 divisors, whose sum is σ = 398910657600. Its totient is φ = 27690246144.

The previous prime is 109892370223. The next prime is 109892370251. The reversal of 109892370240 is 42073298901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22925284 + ... + 22930076.

It is an arithmetic number, because the mean of its divisors is an integer number (1187234100).

Almost surely, 2^109892370240 is an apocalyptic number.

109892370240 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 109892370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199455328800).

109892370240 is an abundant number, since it is smaller than the sum of its proper divisors (289018287360).

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

109892370240 is a wasteful number, since it uses less digits than its factorization.

109892370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109892370240 in words is "one hundred nine billion, eight hundred ninety-two million, three hundred seventy thousand, two hundred forty".