10775120 has 30 divisors (see below), whose sum is σ = 25120602. Its totient is φ = 4298304.

The previous prime is 10775119. The next prime is 10775129. The reversal of 10775120 is 2157701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8620096 + 2155024 = 2936^2 + 1468^2 .

It is a super-2 number, since 2×10775120² = 232206422028800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29177 + ... + 29543.

Almost surely, 2^10775120 is an apocalyptic number.

10775120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10775120 is an abundant number, since it is smaller than the sum of its proper divisors (14345482).

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

10775120 is an frugal number, since it uses more digits than its factorization.

10775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 10775120 is about 3282.5477909697. The cubic root of 10775120 is about 220.8720210689.

The spelling of 10775120 in words is "ten million, seven hundred seventy-five thousand, one hundred twenty".