90116 has 12 divisors (see below), whose sum is σ = 169932. Its totient is φ = 41568.

The previous prime is 90107. The next prime is 90121. The reversal of 90116 is 61109.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 64516 = 160^2 + 254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90094 and 90103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90116.

It is an unprimeable number.

90116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (14161).

2⁹⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

90116 is a deficient number, since it is larger than the sum of its proper divisors (79816).

90116 is a wasteful number, since it uses less digits than its factorization.

90116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 90116 is about 300.1932710772. The cubic root of 90116 is about 44.8332926423.

It can be divided in two parts, 90 and 116, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 90116 in words is "ninety thousand, one hundred sixteen".