10517464108096 has 189 divisors, whose sum is σ = 23195300848447. Its totient is φ = 4728127866880.

The previous prime is 10517464108027. The next prime is 10517464108097. The reversal of 10517464108096 is 69080146471501.

It is a happy number.

The square root of 10517464108096 is 3243064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1893045774400 + 8624418333696 = 1375880^2 + 2936736^2 .

It is a super-2 number, since 2×10517464108096² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10517464108097) 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 26 ways as a sum of consecutive naturals, for example, 39098379450 + ... + 39098379718.

Almost surely, 2^{10517464108096} is an apocalyptic number.

10517464108096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10517464108096 is the 3243064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517464108096

10517464108096 is an abundant number, since it is smaller than the sum of its proper divisors (12677836740351).

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

10517464108096 is an frugal number, since it uses more digits than its factorization.

10517464108096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 10517464108096 in words is "ten trillion, five hundred seventeen billion, four hundred sixty-four million, one hundred eight thousand, ninety-six".