10090 has 8 divisors (see below), whose sum is σ = 18180. Its totient is φ = 4032.

The previous prime is 10079. The next prime is 10091. The reversal of 10090 is 9001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 289 = 99^2 + 17^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1009 = 10090 / (1 + 0 + 0 + 9 + 0).

It is an Ulam number.

10090 is a modest number, since divided by 90 gives 10 as remainder.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10091) 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, 495 + ... + 514.

2¹⁰⁰⁹⁰ is an apocalyptic number.

10090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10090 is a deficient number, since it is larger than the sum of its proper divisors (8090).

10090 is a wasteful number, since it uses less digits than its factorization.

10090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10090 is about 100.4489920308. The cubic root of 10090 is about 21.6087870056.

Adding to 10090 its reverse (9001), we get a palindrome (19091).

Subtracting from 10090 its reverse (9001), we obtain a square (1089 = 33²).

It can be divided in two parts, 100 and 90, that added together give a triangular number (190 = T₁₉).

The spelling of 10090 in words is "ten thousand, ninety".