100131009 has 24 divisors (see below), whose sum is σ = 149896320. Its totient is φ = 59384160.

The previous prime is 100131001. The next prime is 100131011. The reversal of 100131009 is 900131001.

It is not a de Polignac number, because 100131009 - 2³ = 100131001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14127 + ... + 19995.

It is an arithmetic number, because the mean of its divisors is an integer number (6245680).

Almost surely, 2^100131009 is an apocalyptic number.

It is an amenable number.

100131009 is a deficient number, since it is larger than the sum of its proper divisors (49765311).

100131009 is a wasteful number, since it uses less digits than its factorization.

100131009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 100131009 is about 10006.5483059844. The cubic root of 100131009 is about 464.3614915459.

The spelling of 100131009 in words is "one hundred million, one hundred thirty-one thousand, nine".