90244100 has 72 divisors (see below), whose sum is σ = 207153408. Its totient is φ = 34070400.

The previous prime is 90244087. The next prime is 90244123. The reversal of 90244100 is 144209.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132962 + ... + 133638.

Almost surely, 2^90244100 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 90244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103576704).

90244100 is an abundant number, since it is smaller than the sum of its proper divisors (116909308).

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

90244100 is a wasteful number, since it uses less digits than its factorization.

90244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 90244100 is about 9499.6894686090. The cubic root of 90244100 is about 448.5452611037.

Adding to 90244100 its reverse (144209), we get a palindrome (90388309).

The spelling of 90244100 in words is "ninety million, two hundred forty-four thousand, one hundred".