26138100 has 72 divisors (see below), whose sum is σ = 76259008. Its totient is φ = 6912000.

The previous prime is 26138089. The next prime is 26138113. The reversal of 26138100 is 183162.

It is a super-2 number, since 2×26138100² = 1366400543220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45012 + ... + 45588.

Almost surely, 2^26138100 is an apocalyptic number.

26138100 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 26138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38129504).

26138100 is an abundant number, since it is smaller than the sum of its proper divisors (50120908).

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

26138100 is a wasteful number, since it uses less digits than its factorization.

26138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 26138100 is about 5112.5433983488. The cubic root of 26138100 is about 296.7731946401.

The spelling of 26138100 in words is "twenty-six million, one hundred thirty-eight thousand, one hundred".