90091223104 has 63 divisors (see below), whose sum is σ = 189995619373. Its totient is φ = 42376659968.

The previous prime is 90091223083. The next prime is 90091223111. The reversal of 90091223104 is 40132219009.

The square root of 90091223104 is 300152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70140225600 + 19950997504 = 264840^2 + 141248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40819569 + ... + 40821775.

Almost surely, 2^90091223104 is an apocalyptic number.

90091223104 is the 300152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90091223104

90091223104 is an abundant number, since it is smaller than the sum of its proper divisors (99904396269).

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

90091223104 is an frugal number, since it uses more digits than its factorization.

90091223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 90091223104 in words is "ninety billion, ninety-one million, two hundred twenty-three thousand, one hundred four".