26100 has 54 divisors (see below), whose sum is σ = 84630. Its totient is φ = 6720.

The previous prime is 26099. The next prime is 26107. The reversal of 26100 is 162.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 24336 = 42^2 + 156^2 .

It is a super-3 number, since 3×26100³ = 53338743000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26100.

It is not an unprimeable number, because it can be changed into a prime (26107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 886 + ... + 914.

2²⁶¹⁰⁰ is an apocalyptic number.

26100 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 26100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42315).

26100 is an abundant number, since it is smaller than the sum of its proper divisors (58530).

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

26100 is a wasteful number, since it uses less digits than its factorization.

26100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 26100 is about 161.5549442140. The cubic root of 26100 is about 29.6628928134.

Adding to 26100 its reverse (162), we get a palindrome (26262).

The spelling of 26100 in words is "twenty-six thousand, one hundred".