100648289 has 16 divisors (see below), whose sum is σ = 119116800. Its totient is φ = 83220480.

The previous prime is 100648243. The next prime is 100648319. The reversal of 100648289 is 982846001.

It is not a de Polignac number, because 100648289 - 2⁸ = 100648033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100648189) 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 15 ways as a sum of consecutive naturals, for example, 96917 + ... + 97949.

It is an arithmetic number, because the mean of its divisors is an integer number (7444800).

Almost surely, 2^100648289 is an apocalyptic number.

It is an amenable number.

100648289 is a deficient number, since it is larger than the sum of its proper divisors (18468511).

100648289 is a wasteful number, since it uses less digits than its factorization.

100648289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 100648289 is about 10032.3620847735. The cubic root of 100648289 is about 465.1597539502.

The spelling of 100648289 in words is "one hundred million, six hundred forty-eight thousand, two hundred eighty-nine".