10005757071 has 8 divisors (see below), whose sum is σ = 13420896384. Its totient is φ = 6630561240.

The previous prime is 10005757061. The next prime is 10005757117. The reversal of 10005757071 is 17075750001.

10005757071 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10005757071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005757061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9985285 + ... + 9986286.

It is an arithmetic number, because the mean of its divisors is an integer number (1677612048).

Almost surely, 2^10005757071 is an apocalyptic number.

10005757071 is a deficient number, since it is larger than the sum of its proper divisors (3415139313).

10005757071 is a wasteful number, since it uses less digits than its factorization.

10005757071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19971741.

The product of its (nonzero) digits is 8575, while the sum is 33.

The spelling of 10005757071 in words is "ten billion, five million, seven hundred fifty-seven thousand, seventy-one".