10117934177 has 10 divisors (see below), whose sum is σ = 10961096778. Its totient is φ = 9339605184.

The previous prime is 10117934147. The next prime is 10117934219. The reversal of 10117934177 is 77143971101.

It can be written as a sum of positive squares in 5 ways, for example, as 9703038016 + 414896161 = 98504^2 + 20369^2 .

It is not a de Polignac number, because 10117934177 - 2⁸ = 10117933921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117934147) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 148568 + ... + 205689.

Almost surely, 2^10117934177 is an apocalyptic number.

It is an amenable number.

10117934177 is a deficient number, since it is larger than the sum of its proper divisors (843162601).

10117934177 is an frugal number, since it uses more digits than its factorization.

10117934177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354309 (or 354270 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 41.

The spelling of 10117934177 in words is "ten billion, one hundred seventeen million, nine hundred thirty-four thousand, one hundred seventy-seven".