10061106117 has 16 divisors (see below), whose sum is σ = 13470208128. Its totient is φ = 6679745280.

The previous prime is 10061106113. The next prime is 10061106137. The reversal of 10061106117 is 71160116001.

10061106117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10061106117 - 2² = 10061106113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061106113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144017 + ... + 1152777.

It is an arithmetic number, because the mean of its divisors is an integer number (841888008).

Almost surely, 2^10061106117 is an apocalyptic number.

It is an amenable number.

10061106117 is a deficient number, since it is larger than the sum of its proper divisors (3409102011).

10061106117 is a wasteful number, since it uses less digits than its factorization.

10061106117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300.

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 10061106117 in words is "ten billion, sixty-one million, one hundred six thousand, one hundred seventeen".