26053100 has 36 divisors (see below), whose sum is σ = 57475488. Its totient is φ = 10248000.

The previous prime is 26053099. The next prime is 26053103. The reversal of 26053100 is 135062.

It is a super-2 number, since 2×26053100² = 1357528039220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26053103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3965 + ... + 8235.

Almost surely, 2^26053100 is an apocalyptic number.

26053100 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 26053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28737744).

26053100 is an abundant number, since it is smaller than the sum of its proper divisors (31422388).

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

26053100 is a wasteful number, since it uses less digits than its factorization.

26053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 26053100 is about 5104.2237411775. The cubic root of 26053100 is about 296.4511473174.

Adding to 26053100 its reverse (135062), we get a palindrome (26188162).

The spelling of 26053100 in words is "twenty-six million, fifty-three thousand, one hundred".