10035106753 has 14 divisors (see below), whose sum is σ = 11707747586. Its totient is φ = 8601419232.

The previous prime is 10035106721. The next prime is 10035106787. The reversal of 10035106753 is 35760153001.

It can be written as a sum of positive squares in only one way, i.e., 5139025969 + 4896080784 = 71687^2 + 69972^2 .

It is not a de Polignac number, because 10035106753 - 2⁵ = 10035106721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035106453) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 75001 + ... + 160297.

Almost surely, 2^10035106753 is an apocalyptic number.

It is an amenable number.

10035106753 is a deficient number, since it is larger than the sum of its proper divisors (1672640833).

10035106753 is an frugal number, since it uses more digits than its factorization.

10035106753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85339 (or 85304 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

Adding to 10035106753 its reverse (35760153001), we get a palindrome (45795259754).

The spelling of 10035106753 in words is "ten billion, thirty-five million, one hundred six thousand, seven hundred fifty-three".