109800240 has 240 divisors, whose sum is σ = 395808000. Its totient is φ = 25090560.

The previous prime is 109800227. The next prime is 109800247. The reversal of 109800240 is 42008901.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 109800240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109800247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551661 + ... + 551859.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 2^109800240 is an apocalyptic number.

109800240 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 109800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904000).

109800240 is an abundant number, since it is smaller than the sum of its proper divisors (286007760).

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

109800240 is a wasteful number, since it uses less digits than its factorization.

109800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109800240 is about 10478.5609699042. The cubic root of 109800240 is about 478.8517693423.

The spelling of 109800240 in words is "one hundred nine million, eight hundred thousand, two hundred forty".