10061616117 has 16 divisors (see below), whose sum is σ = 16138933760. Its totient is φ = 5446889712.

The previous prime is 10061616101. The next prime is 10061616119. The reversal of 10061616117 is 71161616001.

It is not a de Polignac number, because 10061616117 - 2⁴ = 10061616101 is a prime.

It is a super-2 number, since 2×10061616117² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061616119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12608143 + ... + 12608940.

It is an arithmetic number, because the mean of its divisors is an integer number (1008683360).

Almost surely, 2^10061616117 is an apocalyptic number.

It is an amenable number.

10061616117 is a deficient number, since it is larger than the sum of its proper divisors (6077317643).

10061616117 is a wasteful number, since it uses less digits than its factorization.

10061616117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25217112.

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 10061616117 in words is "ten billion, sixty-one million, six hundred sixteen thousand, one hundred seventeen".