100009344 has 32 divisors (see below), whose sum is σ = 265650840. Its totient is φ = 33336320.

The previous prime is 100009337. The next prime is 100009361. The reversal of 100009344 is 443900001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×100009344³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100009344.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 129837 + ... + 130604.

Almost surely, 2^100009344 is an apocalyptic number.

It is an amenable number.

100009344 is an abundant number, since it is smaller than the sum of its proper divisors (165641496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100009344 is an equidigital number, since it uses as much as digits as its factorization.

100009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260458 (or 260446 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100009344 is about 10000.4671890867. The cubic root of 100009344 is about 464.1733399130.

Adding to 100009344 its reverse (443900001), we get a palindrome (543909345).

The spelling of 100009344 in words is "one hundred million, nine thousand, three hundred forty-four".