10034083757 has 12 divisors (see below), whose sum is σ = 10666742016. Its totient is φ = 9437023680.

The previous prime is 10034083747. The next prime is 10034083769. The reversal of 10034083757 is 75738043001.

It is not a de Polignac number, because 10034083757 - 2¹⁰ = 10034082733 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 10034083757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034083747) 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, 413318 + ... + 436920.

It is an arithmetic number, because the mean of its divisors is an integer number (888895168).

Almost surely, 2^10034083757 is an apocalyptic number.

10034083757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10034083757 is a deficient number, since it is larger than the sum of its proper divisors (632658259).

10034083757 is a wasteful number, since it uses less digits than its factorization.

10034083757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25108 (or 25091 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 10034083757 in words is "ten billion, thirty-four million, eighty-three thousand, seven hundred fifty-seven".