10765120 has 28 divisors (see below), whose sum is σ = 25635204. Its totient is φ = 4305920.

The previous prime is 10765109. The next prime is 10765121. The reversal of 10765120 is 2156701.

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 4293184 = 2544^2 + 2072^2 .

It is a super-2 number, since 2×10765120² = 231775617228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10765091 and 10765100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16501 + ... + 17140.

It is an arithmetic number, because the mean of its divisors is an integer number (915543).

Almost surely, 2^10765120 is an apocalyptic number.

10765120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10765120 is an abundant number, since it is smaller than the sum of its proper divisors (14870084).

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

10765120 is an equidigital number, since it uses as much as digits as its factorization.

10765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33658 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10765120 is about 3281.0242303281. The cubic root of 10765120 is about 220.8036721366.

The spelling of 10765120 in words is "ten million, seven hundred sixty-five thousand, one hundred twenty".