90111 has 12 divisors (see below), whose sum is σ = 139992. Its totient is φ = 51408.

The previous prime is 90107. The next prime is 90121. The reversal of 90111 is 11109.

It is not a de Polignac number, because 90111 - 2² = 90107 is a prime.

90111 is a modest number, since divided by 111 gives 90 as remainder.

It is a plaindrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (11666).

2⁹⁰¹¹¹ is an apocalyptic number.

90111 is a deficient number, since it is larger than the sum of its proper divisors (49881).

90111 is a wasteful number, since it uses less digits than its factorization.

90111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 90111 is about 300.1849429935. The cubic root of 90111 is about 44.8324634495.

The spelling of 90111 in words is "ninety thousand, one hundred eleven".