90105600 has 324 divisors, whose sum is σ = 337983576. Its totient is φ = 21012480.

The previous prime is 90105569. The next prime is 90105643. The reversal of 90105600 is 650109.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4742391 + ... + 4742409.

Almost surely, 2^90105600 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 90105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168991788).

90105600 is an abundant number, since it is smaller than the sum of its proper divisors (247877976).

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

90105600 is a wasteful number, since it uses less digits than its factorization.

90105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90105600 is about 9492.3969575656. The cubic root of 90105600 is about 448.3156788682.

Adding to 90105600 its reverse (650109), we get a palindrome (90755709).

The spelling of 90105600 in words is "ninety million, one hundred five thousand, six hundred".