25280100 has 90 divisors (see below), whose sum is σ = 81974354. Its totient is φ = 6739200.

The previous prime is 25280081. The next prime is 25280113. The reversal of 25280100 is 108252.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 24860196 = 648^2 + 4986^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 29 ways as a sum of consecutive naturals, for example, 6540 + ... + 9660.

Almost surely, 2^25280100 is an apocalyptic number.

25280100 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 25280100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987177).

25280100 is an abundant number, since it is smaller than the sum of its proper divisors (56694254).

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

25280100 is a wasteful number, since it uses less digits than its factorization.

25280100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 25280100 is about 5027.9319804468. The cubic root of 25280100 is about 293.4897438341.

Adding to 25280100 its reverse (108252), we get a palindrome (25388352).

The spelling of 25280100 in words is "twenty-five million, two hundred eighty thousand, one hundred".