10541120 has 28 divisors (see below), whose sum is σ = 25101804. Its totient is φ = 4216320.

The previous prime is 10541119. The next prime is 10541161. The reversal of 10541120 is 2114501.

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 3655744 = 2624^2 + 1912^2 .

It is a super-2 number, since 2×10541120² = 222230421708800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10541095 and 10541104.

It is an unprimeable number.

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, 16151 + ... + 16790.

It is an arithmetic number, because the mean of its divisors is an integer number (896493).

Almost surely, 2^10541120 is an apocalyptic number.

10541120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541120 is an abundant number, since it is smaller than the sum of its proper divisors (14560684).

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

10541120 is an equidigital number, since it uses as much as digits as its factorization.

10541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10541120 is about 3246.7091030765. The cubic root of 10541120 is about 219.2614351749.

Adding to 10541120 its reverse (2114501), we get a palindrome (12655621).

The spelling of 10541120 in words is "ten million, five hundred forty-one thousand, one hundred twenty".