91009101000900 has 144 divisors (see below), whose sum is σ = 272455002388800. Its totient is φ = 23427467159040.

The previous prime is 91009101000863. The next prime is 91009101000911. The reversal of 91009101000900 is 900010190019.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41856811 + ... + 43977389.

It is an arithmetic number, because the mean of its divisors is an integer number (1892048627700).

Almost surely, 2^{91009101000900} 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 91009101000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136227501194400).

91009101000900 is an abundant number, since it is smaller than the sum of its proper divisors (181445901387900).

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

91009101000900 is a wasteful number, since it uses less digits than its factorization.

91009101000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125558 (or 2125551 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

Adding to 91009101000900 its reverse (900010190019), we get a palindrome (91909111190919).

The spelling of 91009101000900 in words is "ninety-one trillion, nine billion, one hundred one million, nine hundred", and thus it is an aban number.