10117057 has 8 divisors (see below), whose sum is σ = 10759392. Its totient is φ = 9480000.

The previous prime is 10117007. The next prime is 10117061. The reversal of 10117057 is 75071101.

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 10117057 - 2¹⁵ = 10084289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3082 + ... + 5452.

It is an arithmetic number, because the mean of its divisors is an integer number (1344924).

Almost surely, 2^10117057 is an apocalyptic number.

10117057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10117057 is a deficient number, since it is larger than the sum of its proper divisors (642335).

10117057 is a wasteful number, since it uses less digits than its factorization.

10117057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 10117057 is about 3180.7321484212. The cubic root of 10117057 is about 216.2808489520.

Adding to 10117057 its reverse (75071101), we get a palindrome (85188158).

The spelling of 10117057 in words is "ten million, one hundred seventeen thousand, fifty-seven".