22100 has 36 divisors (see below), whose sum is σ = 54684. Its totient is φ = 7680.

The previous prime is 22093. The next prime is 22109. The reversal of 22100 is 122.

22100 = T₁ + T₂ + ... + T₅₀.

22100 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

22100 is a nontrivial binomial coefficient, being equal to C(52, 3).

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 21316 = 28^2 + 146^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

22100 is an undulating number in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22109) by changing a digit.

22100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 50-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

2²²¹⁰⁰ is an apocalyptic number.

22100 is a gapful number since it is divisible by the number (20) 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 22100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342).

22100 is an abundant number, since it is smaller than the sum of its proper divisors (32584).

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

22100 is a wasteful number, since it uses less digits than its factorization.

22100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 22100 is about 148.6606874732. The cubic root of 22100 is about 28.0627842839.

Adding to 22100 its reverse (122), we get a palindrome (22222).

The spelling of 22100 in words is "twenty-two thousand, one hundred", and thus it is an iban number.