109824960 has 224 divisors, whose sum is σ = 406725120. Its totient is φ = 24588288.

The previous prime is 109824941. The next prime is 109825003. The reversal of 109824960 is 69428901.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 396342 + ... + 396618.

Almost surely, 2^109824960 is an apocalyptic number.

109824960 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 109824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203362560).

109824960 is an abundant number, since it is smaller than the sum of its proper divisors (296900160).

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

109824960 is a wasteful number, since it uses less digits than its factorization.

109824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 109824960 is about 10479.7404548013. The cubic root of 109824960 is about 478.8877022557.

The spelling of 109824960 in words is "one hundred nine million, eight hundred twenty-four thousand, nine hundred sixty".