90060100 has 81 divisors (see below), whose sum is σ = 214558533. Its totient is φ = 32797440.

The previous prime is 90060083. The next prime is 90060107. The reversal of 90060100 is 106009.

The square root of 90060100 is 9490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 81108036 + 8952064 = 9006^2 + 2992^2 .

It is a super-2 number, since 2×90060100² = 16221643224020000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90060107) 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 26 ways as a sum of consecutive naturals, for example, 1233664 + ... + 1233736.

Almost surely, 2^90060100 is an apocalyptic number.

90060100 is the 9490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90060100

90060100 is an abundant number, since it is smaller than the sum of its proper divisors (124498433).

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

90060100 is a wasteful number, since it uses less digits than its factorization.

90060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 90060100 is about 448.2402052098.

Multiplying 90060100 by its sum of digits (16), we get a square (1440961600 = 37960²).

Adding to 90060100 its reverse (106009), we get a palindrome (90166109).

The spelling of 90060100 in words is "ninety million, sixty thousand, one hundred".