100007613 has 18 divisors (see below), whose sum is σ = 146307486. Its totient is φ = 65827632.

The previous prime is 100007563. The next prime is 100007623. The reversal of 100007613 is 316700001.

It can be written as a sum of positive squares in only one way, i.e., 89529444 + 10478169 = 9462^2 + 3237^2 .

It is not a de Polignac number, because 100007613 - 2⁹ = 100007101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100007623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61195 + ... + 62807.

Almost surely, 2^100007613 is an apocalyptic number.

It is an amenable number.

100007613 is a deficient number, since it is larger than the sum of its proper divisors (46299873).

100007613 is an equidigital number, since it uses as much as digits as its factorization.

100007613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100007613 is about 10000.3806427556. The cubic root of 100007613 is about 464.1706618676.

Adding to 100007613 its reverse (316700001), we get a palindrome (416707614).

The spelling of 100007613 in words is "one hundred million, seven thousand, six hundred thirteen".