109784640 has 336 divisors, whose sum is σ = 435839616. Its totient is φ = 22855680.

The previous prime is 109784629. The next prime is 109784669. The reversal of 109784640 is 46487901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541425 + ... + 3541455.

Almost surely, 2^109784640 is an apocalyptic number.

109784640 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 109784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217919808).

109784640 is an abundant number, since it is smaller than the sum of its proper divisors (326054976).

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

109784640 is a wasteful number, since it uses less digits than its factorization.

109784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 109784640 is about 10477.8165664417. The cubic root of 109784640 is about 478.8290904563.

The spelling of 109784640 in words is "one hundred nine million, seven hundred eighty-four thousand, six hundred forty".