10845120 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 2396160.

The previous prime is 10845113. The next prime is 10845139. The reversal of 10845120 is 2154801.

10845120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137241 + ... + 137319.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^10845120 is an apocalyptic number.

10845120 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 10845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

10845120 is an abundant number, since it is smaller than the sum of its proper divisors (30120000).

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

10845120 is a wasteful number, since it uses less digits than its factorization.

10845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10845120 is about 3293.1929794654. The cubic root of 10845120 is about 221.3492835395.

Adding to 10845120 its reverse (2154801), we get a palindrome (12999921).

The spelling of 10845120 in words is "ten million, eight hundred forty-five thousand, one hundred twenty".