10117141056 has 315 divisors, whose sum is σ = 33226235427. Its totient is φ = 3041660160.

The previous prime is 10117141049. The next prime is 10117141103. The reversal of 10117141056 is 65014171101.

The square root of 10117141056 is 100584.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79662465 + ... + 79662591.

Almost surely, 2^10117141056 is an apocalyptic number.

10117141056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10117141056 is the 100584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117141056

10117141056 is an abundant number, since it is smaller than the sum of its proper divisors (23109094371).

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

10117141056 is an equidigital number, since it uses as much as digits as its factorization.

10117141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10117141056 in words is "ten billion, one hundred seventeen million, one hundred forty-one thousand, fifty-six".