90105226752 has 160 divisors (see below), whose sum is σ = 255700634112. Its totient is φ = 28097675264.

The previous prime is 90105226751. The next prime is 90105226787. The reversal of 90105226752 is 25762250109.

It is a self number, because there is not a number n which added to its sum of digits gives 90105226752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105226751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350373 + ... + 4371035.

Almost surely, 2^90105226752 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 90105226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127850317056).

90105226752 is an abundant number, since it is smaller than the sum of its proper divisors (165595407360).

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

90105226752 is a wasteful number, since it uses less digits than its factorization.

90105226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20868 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 90105226752 in words is "ninety billion, one hundred five million, two hundred twenty-six thousand, seven hundred fifty-two".