10007127 has 12 divisors (see below), whose sum is σ = 15566824. Its totient is φ = 6158160.

The previous prime is 10007087. The next prime is 10007143. The reversal of 10007127 is 72170001.

10007127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10007127 - 2¹² = 10003031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42649 + ... + 42882.

Almost surely, 2^10007127 is an apocalyptic number.

10007127 is a deficient number, since it is larger than the sum of its proper divisors (5559697).

10007127 is a wasteful number, since it uses less digits than its factorization.

10007127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85550 (or 85547 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10007127 is about 3163.4043371027. The cubic root of 10007127 is about 215.4946390356.

Adding to 10007127 its reverse (72170001), we get a palindrome (82177128).

The spelling of 10007127 in words is "ten million, seven thousand, one hundred twenty-seven".