100538289 has 12 divisors (see below), whose sum is σ = 153764676. Its totient is φ = 63082752.

The previous prime is 100538279. The next prime is 100538293. The reversal of 100538289 is 982835001.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 17363889 = 9120^2 + 4167^2 .

It is not a de Polignac number, because 100538289 - 2⁸ = 100538033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100538279) 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 in 11 ways as a sum of consecutive naturals, for example, 328404 + ... + 328709.

It is an arithmetic number, because the mean of its divisors is an integer number (12813723).

Almost surely, 2^100538289 is an apocalyptic number.

It is an amenable number.

100538289 is a deficient number, since it is larger than the sum of its proper divisors (53226387).

100538289 is a wasteful number, since it uses less digits than its factorization.

100538289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657136 (or 657133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 100538289 is about 10026.8783277748. The cubic root of 100538289 is about 464.9902321916.

The spelling of 100538289 in words is "one hundred million, five hundred thirty-eight thousand, two hundred eighty-nine".