10001088 has 84 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 3280896.

The previous prime is 10001081. The next prime is 10001093. The reversal of 10001088 is 88010001.

It is a happy number.

It is a super-2 number, since 2×10001088² = 200043522367488, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10001088.

It is not an unprimeable number, because it can be changed into a prime (10001081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55783 + ... + 55961.

It is an arithmetic number, because the mean of its divisors is an integer number (346710).

Almost surely, 2^10001088 is an apocalyptic number.

10001088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

10001088 is an abundant number, since it is smaller than the sum of its proper divisors (19122552).

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

10001088 is a wasteful number, since it uses less digits than its factorization.

10001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10001088 is about 3162.4496833942. The cubic root of 10001088 is about 215.4512821363.

Adding to 10001088 its reverse (88010001), we get a palindrome (98011089).

The spelling of 10001088 in words is "ten million, one thousand, eighty-eight".