26112100 has 81 divisors (see below), whose sum is σ = 66829707. Its totient is φ = 8830080.

The previous prime is 26112071. The next prime is 26112103. The reversal of 26112100 is 121162.

The square root of 26112100 is 5110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 25969216 = 378^2 + 5096^2 .

It is not an unprimeable number, because it can be changed into a prime (26112103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 357664 + ... + 357736.

Almost surely, 2^26112100 is an apocalyptic number.

26112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26112100 is the 5110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26112100

26112100 is an abundant number, since it is smaller than the sum of its proper divisors (40717607).

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

26112100 is a wasteful number, since it uses less digits than its factorization.

26112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The cubic root of 26112100 is about 296.6747602612.

Adding to 26112100 its reverse (121162), we get a palindrome (26233262).

The spelling of 26112100 in words is "twenty-six million, one hundred twelve thousand, one hundred".