26008100 has 18 divisors (see below), whose sum is σ = 56437794. Its totient is φ = 10403200.

The previous prime is 26008097. The next prime is 26008121. The reversal of 26008100 is 180062.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 25989604 = 136^2 + 5098^2 .

It is a super-2 number, since 2×26008100² = 1352842531220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129941 + ... + 130140.

It is an arithmetic number, because the mean of its divisors is an integer number (3135433).

Almost surely, 2^26008100 is an apocalyptic number.

26008100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26008100 is an abundant number, since it is smaller than the sum of its proper divisors (30429694).

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

26008100 is a wasteful number, since it uses less digits than its factorization.

26008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260095 (or 260088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 26008100 is about 5099.8137220883. The cubic root of 26008100 is about 296.2803680288.

Adding to 26008100 its reverse (180062), we get a palindrome (26188162).

The spelling of 26008100 in words is "twenty-six million, eight thousand, one hundred".