10117141057 has 8 divisors (see below), whose sum is σ = 10474425000. Its totient is φ = 9760418304.

The previous prime is 10117141049. The next prime is 10117141103. The reversal of 10117141057 is 75014171101.

It is a Cunningham number, because it is equal to 100584²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 10117141056 = 1^2 + 100584^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10117141057 - 2³ = 10117141049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117141037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103438 + ... + 175879.

It is an arithmetic number, because the mean of its divisors is an integer number (1309303125).

Almost surely, 2^10117141057 is an apocalyptic number.

It is an amenable number.

10117141057 is a deficient number, since it is larger than the sum of its proper divisors (357283943).

10117141057 is a wasteful number, since it uses less digits than its factorization.

10117141057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280595.

The product of its (nonzero) digits is 980, while the sum is 28.

The spelling of 10117141057 in words is "ten billion, one hundred seventeen million, one hundred forty-one thousand, fifty-seven".