26022100 has 72 divisors (see below), whose sum is σ = 62570648. Its totient is φ = 9331200.

The previous prime is 26022083. The next prime is 26022103. The reversal of 26022100 is 122062.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7203856 + 18818244 = 2684^2 + 4338^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47830 + ... + 48370.

Almost surely, 2^26022100 is an apocalyptic number.

26022100 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 26022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31285324).

26022100 is an abundant number, since it is smaller than the sum of its proper divisors (36548548).

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

26022100 is a wasteful number, since it uses less digits than its factorization.

26022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26022100 is about 5101.1861365765. The cubic root of 26022100 is about 296.3335204583. Note that the first 3 decimals are identical.

Adding to 26022100 its reverse (122062), we get a palindrome (26144162).

The spelling of 26022100 in words is "twenty-six million, twenty-two thousand, one hundred".