91105 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 58752.

The previous prime is 91099. The next prime is 91121. The reversal of 91105 is 50119.

It is a cyclic number.

It is not a de Polignac number, because 91105 - 2³ = 91097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁹¹¹⁰⁵ is an apocalyptic number.

91105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

91105 is a deficient number, since it is larger than the sum of its proper divisors (41375).

91105 is a wasteful number, since it uses less digits than its factorization.

91105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 91105 is about 301.8360482116. The cubic root of 91105 is about 44.9967075780.

It can be divided in two parts, 91 and 105, that added together give a square (196 = 14²).

The spelling of 91105 in words is "ninety-one thousand, one hundred five".