100009144 has 16 divisors (see below), whose sum is σ = 187956720. Its totient is φ = 49887360.

The previous prime is 100009097. The next prime is 100009153. The reversal of 100009144 is 441900001.

It is a super-2 number, since 2×100009144² = 20003657767225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10972 + ... + 17899.

It is an arithmetic number, because the mean of its divisors is an integer number (11747295).

Almost surely, 2^100009144 is an apocalyptic number.

It is an amenable number.

100009144 is a deficient number, since it is larger than the sum of its proper divisors (87947576).

100009144 is a wasteful number, since it uses less digits than its factorization.

100009144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29310 (or 29306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100009144 is about 10000.4571895489. The cubic root of 100009144 is about 464.1730304928.

Adding to 100009144 its reverse (441900001), we get a palindrome (541909145).

The spelling of 100009144 in words is "one hundred million, nine thousand, one hundred forty-four".