90010 has 8 divisors (see below), whose sum is σ = 162036. Its totient is φ = 36000.

The previous prime is 90007. The next prime is 90011. The reversal of 90010 is 1009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 5329 = 291^2 + 73^2 .

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: 9001 = 90010 / (9 + 0 + 0 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (90011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4491 + ... + 4510.

2⁹⁰⁰¹⁰ is an apocalyptic number.

90010 is a deficient number, since it is larger than the sum of its proper divisors (72026).

90010 is a wasteful number, since it uses less digits than its factorization.

90010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008.

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

The square root of 90010 is about 300.0166662037. The cubic root of 90010 is about 44.8157071836.

Subtracting from 90010 its sum of digits (10), we obtain a square (90000 = 300²).

Adding to 90010 its reverse (1009), we get a palindrome (91019).

The spelling of 90010 in words is "ninety thousand, ten".