10755120 has 80 divisors (see below), whose sum is σ = 34185312. Its totient is φ = 2795520.

The previous prime is 10755119. The next prime is 10755137. The reversal of 10755120 is 2155701.

Added to its reverse (2155701) it gives a triangular number (12910821 = T₅₀₈₁).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9294 + ... + 10386.

Almost surely, 2^10755120 is an apocalyptic number.

10755120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3279×3280.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17092656).

10755120 is an abundant number, since it is smaller than the sum of its proper divisors (23430192).

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

10755120 is a wasteful number, since it uses less digits than its factorization.

10755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10755120 is about 3279.4999618844. The cubic root of 10755120 is about 220.7352808639.

Adding to 10755120 its reverse (2155701), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 10755120 in words is "ten million, seven hundred fifty-five thousand, one hundred twenty".