10117031805 has 12 divisors (see below), whose sum is σ = 17536188540. Its totient is φ = 5395750272.

The previous prime is 10117031791. The next prime is 10117031819. The reversal of 10117031805 is 50813071101.

It is an interprime number because it is at equal distance from previous prime (10117031791) and next prime (10117031819).

It can be written as a sum of positive squares in 2 ways, for example, as 5616902916 + 4500128889 = 74946^2 + 67083^2 .

It is not a de Polignac number, because 10117031805 - 2⁹ = 10117031293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112411420 + ... + 112411509.

It is an arithmetic number, because the mean of its divisors is an integer number (1461349045).

Almost surely, 2^10117031805 is an apocalyptic number.

10117031805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10117031805 is a deficient number, since it is larger than the sum of its proper divisors (7419156735).

10117031805 is a wasteful number, since it uses less digits than its factorization.

10117031805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224822940 (or 224822937 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10117031805 in words is "ten billion, one hundred seventeen million, thirty-one thousand, eight hundred five".