26144100 has 144 divisors (see below), whose sum is σ = 87911040. Its totient is φ = 6652800.

The previous prime is 26144081. The next prime is 26144143. The reversal of 26144100 is 144162.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61890 + ... + 62310.

Almost surely, 2^26144100 is an apocalyptic number.

26144100 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 26144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43955520).

26144100 is an abundant number, since it is smaller than the sum of its proper divisors (61766940).

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

26144100 is a wasteful number, since it uses less digits than its factorization.

26144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26144100 is about 5113.1301567631. The cubic root of 26144100 is about 296.7959009952.

Adding to 26144100 its reverse (144162), we get a palindrome (26288262).

It can be divided in two parts, 26144 and 100, that added together give a square (26244 = 162²).

The spelling of 26144100 in words is "twenty-six million, one hundred forty-four thousand, one hundred".