100404513 has 24 divisors (see below), whose sum is σ = 158695680. Its totient is φ = 60665760.

The previous prime is 100404509. The next prime is 100404517. The reversal of 100404513 is 315404001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100404509) and next prime (100404517).

It is not a de Polignac number, because 100404513 - 2² = 100404509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100404517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35568 + ... + 38286.

It is an arithmetic number, because the mean of its divisors is an integer number (6612320).

Almost surely, 2^100404513 is an apocalyptic number.

It is an amenable number.

100404513 is a deficient number, since it is larger than the sum of its proper divisors (58291167).

100404513 is a wasteful number, since it uses less digits than its factorization.

100404513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100404513 is about 10020.2052374190. The cubic root of 100404513 is about 464.7839023642.

Adding to 100404513 its reverse (315404001), we get a palindrome (415808514).

The spelling of 100404513 in words is "one hundred million, four hundred four thousand, five hundred thirteen".