26945100 has 324 divisors, whose sum is σ = 108055584. Its totient is φ = 5564160.

The previous prime is 26945081. The next prime is 26945111. The reversal of 26945100 is 154962.

26945100 = 41² + 42² + ... + 432².

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 573277 + ... + 573323.

Almost surely, 2^26945100 is an apocalyptic number.

26945100 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 26945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

26945100 is an abundant number, since it is smaller than the sum of its proper divisors (81110484).

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

26945100 is a wasteful number, since it uses less digits than its factorization.

26945100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 26945100 is about 5190.8669796095. The cubic root of 26945100 is about 299.7965286960.

It can be divided in two parts, 269 and 45100, that added together give a square (45369 = 213²).

The spelling of 26945100 in words is "twenty-six million, nine hundred forty-five thousand, one hundred".