91585103 has 32 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 77271040.

The previous prime is 91585097. The next prime is 91585133. The reversal of 91585103 is 30158519.

It is a cyclic number.

It is not a de Polignac number, because 91585103 - 2¹⁰ = 91584079 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91585103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91585133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464801 + ... + 464997.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2^91585103 is an apocalyptic number.

91585103 is a deficient number, since it is larger than the sum of its proper divisors (16190257).

91585103 is a wasteful number, since it uses less digits than its factorization.

91585103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 91585103 is about 9570.0106060547. The cubic root of 91585103 is about 450.7561000656.

The spelling of 91585103 in words is "ninety-one million, five hundred eighty-five thousand, one hundred three".