100540109 has 2 divisors, whose sum is σ = 100540110. Its totient is φ = 100540108.

The previous prime is 100540103. The next prime is 100540117. The reversal of 100540109 is 901045001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58094884 + 42445225 = 7622^2 + 6515^2 .

It is an emirp because it is prime and its reverse (901045001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100540109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100540103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270054 + 50270055.

It is an arithmetic number, because the mean of its divisors is an integer number (50270055).

Almost surely, 2^100540109 is an apocalyptic number.

It is an amenable number.

100540109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540109 is an equidigital number, since it uses as much as digits as its factorization.

100540109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 100540109 is about 10026.9690834270. The cubic root of 100540109 is about 464.9930380119.

It can be divided in two parts, 1005 and 40109, that added together give a palindrome (41114).

The spelling of 100540109 in words is "one hundred million, five hundred forty thousand, one hundred nine".