10117116 has 48 divisors (see below), whose sum is σ = 26493600. Its totient is φ = 3338496.

The previous prime is 10117111. The next prime is 10117127. The reversal of 10117116 is 61171101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11790 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (551950).

Almost surely, 2^10117116 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 10117116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246800).

10117116 is an abundant number, since it is smaller than the sum of its proper divisors (16376484).

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

10117116 is a wasteful number, since it uses less digits than its factorization.

10117116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 10117116 is about 3180.7414230019. The cubic root of 10117116 is about 216.2812693821.

Adding to 10117116 its reverse (61171101), we get a palindrome (71288217).

The spelling of 10117116 in words is "ten million, one hundred seventeen thousand, one hundred sixteen".