91106500 has 48 divisors (see below), whose sum is σ = 200032560. Its totient is φ = 36249600.

The previous prime is 91106479. The next prime is 91106503. The reversal of 91106500 is 560119.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 71605444 = 4416^2 + 8462^2 .

It is not an unprimeable number, because it can be changed into a prime (91106503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128146 + ... + 128854.

It is an arithmetic number, because the mean of its divisors is an integer number (4167345).

Almost surely, 2^91106500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100016280).

91106500 is an abundant number, since it is smaller than the sum of its proper divisors (108926060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91106500 is a wasteful number, since it uses less digits than its factorization.

91106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 91106500 is about 9544.9724986508. The cubic root of 91106500 is about 449.9695452641.

Adding to 91106500 its reverse (560119), we get a palindrome (91666619).

The spelling of 91106500 in words is "ninety-one million, one hundred six thousand, five hundred".