91109600 has 72 divisors (see below), whose sum is σ = 226188648. Its totient is φ = 35827200.

The previous prime is 91109593. The next prime is 91109609. The reversal of 91109600 is 690119.

It is a self number, because there is not a number n which added to its sum of digits gives 91109600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91109609) 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 11 ways as a sum of consecutive naturals, for example, 47867 + ... + 49733.

It is an arithmetic number, because the mean of its divisors is an integer number (3141509).

Almost surely, 2^91109600 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 91109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113094324).

91109600 is an abundant number, since it is smaller than the sum of its proper divisors (135079048).

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

91109600 is a wasteful number, since it uses less digits than its factorization.

91109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 91109600 is about 9545.1348864225. The cubic root of 91109600 is about 449.9746487776.

Adding to 91109600 its reverse (690119), we get a palindrome (91799719).

The spelling of 91109600 in words is "ninety-one million, one hundred nine thousand, six hundred".