100908289 has 8 divisors (see below), whose sum is σ = 102240360. Its totient is φ = 99580800.

The previous prime is 100908271. The next prime is 100908299. The reversal of 100908289 is 982809001.

It can be written as a sum of positive squares in 4 ways, for example, as 748225 + 100160064 = 865^2 + 10008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100908289 - 2⁷ = 100908161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100908299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72379 + ... + 73759.

It is an arithmetic number, because the mean of its divisors is an integer number (12780045).

Almost surely, 2^100908289 is an apocalyptic number.

It is an amenable number.

100908289 is a deficient number, since it is larger than the sum of its proper divisors (1332071).

100908289 is an equidigital number, since it uses as much as digits as its factorization.

100908289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 100908289 is about 10045.3117920749. The cubic root of 100908289 is about 465.5599513292.

The spelling of 100908289 in words is "one hundred million, nine hundred eight thousand, two hundred eighty-nine".