100344013 has 48 divisors (see below), whose sum is σ = 138288384. Its totient is φ = 71715840.

The previous prime is 100344007. The next prime is 100344017. The reversal of 100344013 is 310443001.

It is not a de Polignac number, because 100344013 - 2⁹ = 100343501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430545 + ... + 430777.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 2^100344013 is an apocalyptic number.

It is an amenable number.

100344013 is a deficient number, since it is larger than the sum of its proper divisors (37944371).

100344013 is a wasteful number, since it uses less digits than its factorization.

100344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100344013 is about 10017.1858822725. The cubic root of 100344013 is about 464.6905298154.

Adding to 100344013 its reverse (310443001), we get a palindrome (410787014).

The spelling of 100344013 in words is "one hundred million, three hundred forty-four thousand, thirteen".