10107009 has 18 divisors (see below), whose sum is σ = 16048578. Its totient is φ = 6124800.

The previous prime is 10107001. The next prime is 10107037. The reversal of 10107009 is 90070101.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 278784 = 3135^2 + 528^2 .

It is not a de Polignac number, because 10107009 - 2³ = 10107001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106982 and 10107000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107001) 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, 3552 + ... + 5729.

Almost surely, 2^10107009 is an apocalyptic number.

It is an amenable number.

10107009 is a deficient number, since it is larger than the sum of its proper divisors (5941569).

10107009 is a wasteful number, since it uses less digits than its factorization.

10107009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10107009 is about 3179.1522454894. The cubic root of 10107009 is about 216.2092237149.

The spelling of 10107009 in words is "ten million, one hundred seven thousand, nine".