10117086908500 has 144 divisors (see below), whose sum is σ = 26155263672720. Its totient is φ = 3395944992000.

The previous prime is 10117086908429. The next prime is 10117086908569. The reversal of 10117086908500 is 580968071101.

It can be written as a sum of positive squares in 8 ways, for example, as 6943836333456 + 3173250575044 = 2635116^2 + 1781362^2 .

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 47 ways as a sum of consecutive naturals, for example, 5645215 + ... + 7218214.

It is an arithmetic number, because the mean of its divisors is an integer number (181633775505).

Almost surely, 2^{10117086908500} is an apocalyptic number.

10117086908500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10117086908500 is an abundant number, since it is smaller than the sum of its proper divisors (16038176764220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10117086908500 is a wasteful number, since it uses less digits than its factorization.

10117086908500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863483 (or 12863460 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The spelling of 10117086908500 in words is "ten trillion, one hundred seventeen billion, eighty-six million, nine hundred eight thousand, five hundred".