91105290240 has 384 divisors, whose sum is σ = 315865630080. Its totient is φ = 22328377344.

The previous prime is 91105290239. The next prime is 91105290281. The reversal of 91105290240 is 4209250119.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22454292 + ... + 22458348.

It is an arithmetic number, because the mean of its divisors is an integer number (822566745).

Almost surely, 2^91105290240 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 91105290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157932815040).

91105290240 is an abundant number, since it is smaller than the sum of its proper divisors (224760339840).

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

91105290240 is a wasteful number, since it uses less digits than its factorization.

91105290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 91105290240 in words is "ninety-one billion, one hundred five million, two hundred ninety thousand, two hundred forty".