91010000100 has 144 divisors (see below), whose sum is σ = 270046215936. Its totient is φ = 23650944000.

The previous prime is 91010000093. The next prime is 91010000111. The reversal of 91010000100 is 100001019.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12554677 + ... + 12561923.

It is an arithmetic number, because the mean of its divisors is an integer number (1875320944).

Almost surely, 2^91010000100 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 91010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135023107968).

91010000100 is an abundant number, since it is smaller than the sum of its proper divisors (179036215836).

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

91010000100 is a wasteful number, since it uses less digits than its factorization.

91010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 91010000100 its reverse (100001019), we get a palindrome (91110001119).

The spelling of 91010000100 in words is "ninety-one billion, ten million, one hundred", and thus it is an aban number.