90042004900 has 81 divisors (see below), whose sum is σ = 201062637027. Its totient is φ = 35000164800.

The previous prime is 90042004889. The next prime is 90042004903. The reversal of 90042004900 is 940024009.

The square root of 90042004900 is 300070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8547742116 + 81494262784 = 92454^2 + 285472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90042004903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111025495 + ... + 111026305.

Almost surely, 2^90042004900 is an apocalyptic number.

90042004900 is the 300070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90042004900

90042004900 is an abundant number, since it is smaller than the sum of its proper divisors (111020632127).

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

90042004900 is an equidigital number, since it uses as much as digits as its factorization.

90042004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 90042004900 its reverse (940024009), we get a palindrome (90982028909).

The spelling of 90042004900 in words is "ninety billion, forty-two million, four thousand, nine hundred".