109825920 has 192 divisors, whose sum is σ = 396208800. Its totient is φ = 27979776.

The previous prime is 109825883. The next prime is 109825927. The reversal of 109825920 is 29528901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109825927) 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 23 ways as a sum of consecutive naturals, for example, 132066 + ... + 132894.

Almost surely, 2^109825920 is an apocalyptic number.

109825920 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 109825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198104400).

109825920 is an abundant number, since it is smaller than the sum of its proper divisors (286382880).

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

109825920 is a wasteful number, since it uses less digits than its factorization.

109825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109825920 is about 10479.7862573623. The cubic root of 109825920 is about 478.8890975998.

The spelling of 109825920 in words is "one hundred nine million, eight hundred twenty-five thousand, nine hundred twenty".