10117888 has 36 divisors (see below), whose sum is σ = 22038408. Its totient is φ = 4597760.

The previous prime is 10117883. The next prime is 10117889. The reversal of 10117888 is 88871101.

It is not an unprimeable number, because it can be changed into a prime (10117883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1020 + ... + 4612.

It is an arithmetic number, because the mean of its divisors is an integer number (612178).

Almost surely, 2^10117888 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 10117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019204).

10117888 is an abundant number, since it is smaller than the sum of its proper divisors (11920520).

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

10117888 is an equidigital number, since it uses as much as digits as its factorization.

10117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 34.

The square root of 10117888 is about 3180.8627760405. The cubic root of 10117888 is about 216.2867704522.

Adding to 10117888 its reverse (88871101), we get a palindrome (98988989).

It can be divided in two parts, 10 and 117888, that multiplied together give a triangular number (1178880 = T₁₅₃₅).

The spelling of 10117888 in words is "ten million, one hundred seventeen thousand, eight hundred eighty-eight".