10007307 has 10 divisors (see below), whose sum is σ = 14949308. Its totient is φ = 6671484.

The previous prime is 10007303. The next prime is 10007311. The reversal of 10007307 is 70370001.

It is an interprime number because it is at equal distance from previous prime (10007303) and next prime (10007311).

It is not a de Polignac number, because 10007307 - 2² = 10007303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10007307.

It is not an unprimeable number, because it can be changed into a prime (10007303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61693 + ... + 61854.

Almost surely, 2^10007307 is an apocalyptic number.

10007307 is a deficient number, since it is larger than the sum of its proper divisors (4942001).

10007307 is an equidigital number, since it uses as much as digits as its factorization.

10007307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123559 (or 123550 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10007307 is about 3163.4327873372. The cubic root of 10007307 is about 215.4959310749.

Adding to 10007307 its reverse (70370001), we get a palindrome (80377308).

The spelling of 10007307 in words is "ten million, seven thousand, three hundred seven".