9080100 has 180 divisors, whose sum is σ = 31508400. Its totient is φ = 2255040.

The previous prime is 9080089. The next prime is 9080107. The reversal of 9080100 is 10809.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9080107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153871 + ... + 153929.

Almost surely, 2^9080100 is an apocalyptic number.

9080100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754200).

9080100 is an abundant number, since it is smaller than the sum of its proper divisors (22428300).

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

9080100 is a wasteful number, since it uses less digits than its factorization.

9080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9080100 is about 3013.3204277010. The cubic root of 9080100 is about 208.6236521329.

Adding to 9080100 its reverse (10809), we get a palindrome (9090909).

It can be divided in two parts, 9080 and 100, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 9080100 in words is "nine million, eighty thousand, one hundred".