9100 has 36 divisors (see below), whose sum is σ = 24304. Its totient is φ = 2880.

The previous prime is 9091. The next prime is 9103. The reversal of 9100 is 19.

9100 = 33² + 34² + ... + 39².

It is a happy number.

9100 is nontrivially palindromic in base 9.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 706.

2⁹¹⁰⁰ 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 9100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152).

9100 is an abundant number, since it is smaller than the sum of its proper divisors (15204).

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

9100 is a wasteful number, since it uses less digits than its factorization.

9100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 27 counting only the distinct ones).

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

The square root of 9100 is about 95.3939201417. The cubic root of 9100 is about 20.8775947866.

Adding to 9100 its reverse (19), we get a palindrome (9119).

The spelling of 9100 in words is "nine thousand, one hundred".