10540081 has 2 divisors, whose sum is σ = 10540082. Its totient is φ = 10540080.

The previous prime is 10540063. The next prime is 10540097. The reversal of 10540081 is 18004501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 1540081 = 3000^2 + 1241^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540081 - 2¹³ = 10531889 is a prime.

It is a super-2 number, since 2×10540081² = 222186614973122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10540001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270040 + 5270041.

It is an arithmetic number, because the mean of its divisors is an integer number (5270041).

Almost surely, 2^10540081 is an apocalyptic number.

It is an amenable number.

10540081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540081 is an equidigital number, since it uses as much as digits as its factorization.

10540081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10540081 is about 3246.5490909580. The cubic root of 10540081 is about 219.2542310031.

Adding to 10540081 its reverse (18004501), we get a palindrome (28544582).

It can be divided in two parts, 105 and 40081, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 10540081 in words is "ten million, five hundred forty thousand, eighty-one".