100509144 has 32 divisors (see below), whose sum is σ = 251769840. Its totient is φ = 33436800.

The previous prime is 100509137. The next prime is 100509193. The reversal of 100509144 is 441905001.

It is a super-2 number, since 2×100509144² = 20204176055225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9114 + ... + 16854.

Almost surely, 2^100509144 is an apocalyptic number.

It is an amenable number.

100509144 is an abundant number, since it is smaller than the sum of its proper divisors (151260696).

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

100509144 is a wasteful number, since it uses less digits than its factorization.

100509144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 100509144 is about 10025.4248787770. The cubic root of 100509144 is about 464.9452959118.

The spelling of 100509144 in words is "one hundred million, five hundred nine thousand, one hundred forty-four".