90010000 has 50 divisors (see below), whose sum is σ = 217947422. Its totient is φ = 36000000.

The previous prime is 90009943. The next prime is 90010001. The reversal of 90010000 is 1009.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 50922496 + 39087504 = 7136^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (90010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5500 + ... + 14500.

Almost surely, 2^90010000 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 90010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108973711).

90010000 is an abundant number, since it is smaller than the sum of its proper divisors (127937422).

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

90010000 is an equidigital number, since it uses as much as digits as its factorization.

90010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 90010000 is about 9487.3600121425. The cubic root of 90010000 is about 448.1570718364.

Adding to 90010000 its reverse (1009), we get a palindrome (90011009).

The spelling of 90010000 in words is "ninety million, ten thousand".