5109120 has 96 divisors (see below), whose sum is σ = 17662320. Its totient is φ = 1360896.

The previous prime is 5109113. The next prime is 5109121. The reversal of 5109120 is 219015.

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

It is a super-2 number, since 2×5109120² = 52206214348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5109093 and 5109102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5317 + ... + 6203.

Almost surely, 2^5109120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831160).

5109120 is an abundant number, since it is smaller than the sum of its proper divisors (12553200).

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

5109120 is a wasteful number, since it uses less digits than its factorization.

5109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5109120 is about 2260.3362581705. The cubic root of 5109120 is about 172.2326039913.

The spelling of 5109120 in words is "five million, one hundred nine thousand, one hundred twenty".