26260100 has 72 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 9878400.

The previous prime is 26260099. The next prime is 26260103. The reversal of 26260100 is 106262.

It is not an unprimeable number, because it can be changed into a prime (26260103) 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, 133202 + ... + 133398.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 2^26260100 is an apocalyptic number.

26260100 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 26260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

26260100 is an abundant number, since it is smaller than the sum of its proper divisors (34236028).

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

26260100 is a wasteful number, since it uses less digits than its factorization.

26260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 26260100 is about 5124.4609472607. The cubic root of 26260100 is about 297.2342093295.

Adding to 26260100 its reverse (106262), we get a palindrome (26366362).

The spelling of 26260100 in words is "twenty-six million, two hundred sixty thousand, one hundred".