91107 has 12 divisors (see below), whose sum is σ = 134784. Its totient is φ = 59280.

The previous prime is 91099. The next prime is 91121. The reversal of 91107 is 70119.

It is not a de Polignac number, because 91107 - 2³ = 91099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 91107.

It is not an unprimeable number, because it can be changed into a prime (91127) 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, 382 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2⁹¹¹⁰⁷ is an apocalyptic number.

91107 is a deficient number, since it is larger than the sum of its proper divisors (43677).

91107 is a wasteful number, since it uses less digits than its factorization.

91107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 91107 is about 301.8393612503. The cubic root of 91107 is about 44.9970368419.

Adding to 91107 its sum of digits (18), we get a cube (91125 = 45³).

The spelling of 91107 in words is "ninety-one thousand, one hundred seven".