90112 has 28 divisors (see below), whose sum is σ = 196596. Its totient is φ = 40960.

The previous prime is 90107. The next prime is 90121. The reversal of 90112 is 21109.

It is a junction number, because it is equal to n+sod(n) for n = 90092 and 90101.

It is a congruent number.

It is an unprimeable number.

90112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8187 + ... + 8197.

2⁹⁰¹¹² 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 90112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98298).

90112 is an abundant number, since it is smaller than the sum of its proper divisors (106484).

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

90112 is an equidigital number, since it uses as much as digits as its factorization.

90112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 90112 is about 300.1866086287. The cubic root of 90112 is about 44.8326292905.

It can be divided in two parts, 90 and 112, that added together give a palindrome (202).

The spelling of 90112 in words is "ninety thousand, one hundred twelve".