10117689 has 8 divisors (see below), whose sum is σ = 13534080. Its totient is φ = 6723216.

The previous prime is 10117663. The next prime is 10117691. The reversal of 10117689 is 98671101.

10117689 = T₇₇ + T₇₈ + ... + T₃₉₃.

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

It is not a de Polignac number, because 10117689 - 2⁷ = 10117561 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10117619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4369 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 2^10117689 is an apocalyptic number.

It is an amenable number.

10117689 is a deficient number, since it is larger than the sum of its proper divisors (3416391).

10117689 is a wasteful number, since it uses less digits than its factorization.

10117689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959.

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 10117689 is about 3180.8314950654. The cubic root of 10117689 is about 216.2853524570.

The spelling of 10117689 in words is "ten million, one hundred seventeen thousand, six hundred eighty-nine".