100001009 has 24 divisors (see below), whose sum is σ = 112477440. Its totient is φ = 88560000.

The previous prime is 100000969. The next prime is 100001029. The reversal of 100001009 is 900100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001029) 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 23 ways as a sum of consecutive naturals, for example, 990059 + ... + 990159.

It is an arithmetic number, because the mean of its divisors is an integer number (4686560).

Almost surely, 2^100001009 is an apocalyptic number.

100001009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100001009 is a deficient number, since it is larger than the sum of its proper divisors (12476431).

100001009 is a wasteful number, since it uses less digits than its factorization.

100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100001009 is about 10000.0504498727. The cubic root of 100001009 is about 464.1604444771.

The spelling of 100001009 in words is "one hundred million, one thousand, nine".