26105200 has 120 divisors (see below), whose sum is σ = 72651600. Its totient is φ = 8908800.

The previous prime is 26105179. The next prime is 26105269. The reversal of 26105200 is 250162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 74626 + ... + 74974.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 2^26105200 is an apocalyptic number.

26105200 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 26105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325800).

26105200 is an abundant number, since it is smaller than the sum of its proper divisors (46546400).

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

26105200 is a wasteful number, since it uses less digits than its factorization.

26105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 26105200 is about 5109.3248086220. The cubic root of 26105200 is about 296.6486263210.

Adding to 26105200 its reverse (250162), we get a palindrome (26355362).

The spelling of 26105200 in words is "twenty-six million, one hundred five thousand, two hundred".