100540009 has 2 divisors, whose sum is σ = 100540010. Its totient is φ = 100540008.

The previous prime is 100539997. The next prime is 100540019. The reversal of 100540009 is 900045001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70509609 + 30030400 = 8397^2 + 5480^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540009 - 2⁹ = 100539497 is a prime.

It is not a weakly prime, because it can be changed into another prime (100540019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270004 + 50270005.

It is an arithmetic number, because the mean of its divisors is an integer number (50270005).

Almost surely, 2^100540009 is an apocalyptic number.

It is an amenable number.

100540009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540009 is an equidigital number, since it uses as much as digits as its factorization.

100540009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100540009 is about 10026.9640968740. The cubic root of 100540009 is about 464.9928838469.

It can be divided in two parts, 1005 and 40009, that added together give a palindrome (41014).

The spelling of 100540009 in words is "one hundred million, five hundred forty thousand, nine".