10117792 has 48 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 4736512.

The previous prime is 10117777. The next prime is 10117801. The reversal of 10117792 is 29771101.

It is a self number, because there is not a number n which added to its sum of digits gives 10117792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43308 + ... + 43540.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^10117792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

10117792 is an abundant number, since it is smaller than the sum of its proper divisors (11110688).

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

10117792 is a wasteful number, since it uses less digits than its factorization.

10117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 10117792 is about 3180.8476857593. The cubic root of 10117792 is about 216.2860863965.

Adding to 10117792 its reverse (29771101), we get a palindrome (39888893).

The spelling of 10117792 in words is "ten million, one hundred seventeen thousand, seven hundred ninety-two".