10809120 has 96 divisors (see below), whose sum is σ = 38924928. Its totient is φ = 2469888.

The previous prime is 10809101. The next prime is 10809133. The reversal of 10809120 is 2190801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 1752 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (405468).

Almost surely, 2^10809120 is an apocalyptic number.

10809120 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 10809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462464).

10809120 is an abundant number, since it is smaller than the sum of its proper divisors (28115808).

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

10809120 is a wasteful number, since it uses less digits than its factorization.

10809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10809120 is about 3287.7226160368. The cubic root of 10809120 is about 221.1040916117.

Adding to 10809120 its reverse (2190801), we get a palindrome (12999921).

The spelling of 10809120 in words is "ten million, eight hundred nine thousand, one hundred twenty".