90105 has 8 divisors (see below), whose sum is σ = 144192. Its totient is φ = 48048.

The previous prime is 90089. The next prime is 90107. The reversal of 90105 is 50109.

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

It is not a de Polignac number, because 90105 - 2⁴ = 90089 is a prime.

It is a super-2 number, since 2×90105² = 16237822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6007 = 90105 / (9 + 0 + 1 + 0 + 5).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

90105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (90107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (18024).

2⁹⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

90105 is a deficient number, since it is larger than the sum of its proper divisors (54087).

90105 is a wasteful number, since it uses less digits than its factorization.

90105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 90105 is about 300.1749489881. The cubic root of 90105 is about 44.8314683777.

The spelling of 90105 in words is "ninety thousand, one hundred five".