10088 has 16 divisors (see below), whose sum is σ = 20580. Its totient is φ = 4608.

The previous prime is 10079. The next prime is 10091. The reversal of 10088 is 88001.

It is a happy number.

10088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 484 = 98^2 + 22^2 .

It is an Ulam number.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 152.

2¹⁰⁰⁸⁸ 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 10088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290).

10088 is an abundant number, since it is smaller than the sum of its proper divisors (10492).

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

10088 is a wasteful number, since it uses less digits than its factorization.

10088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10088 is about 100.4390362359. The cubic root of 10088 is about 21.6073591751.

Adding to 10088 its reverse (88001), we get a palindrome (98089).

The spelling of 10088 in words is "ten thousand, eighty-eight".