25100100 has 81 divisors (see below), whose sum is σ = 79148797. Its totient is φ = 6653280.

The previous prime is 25100087. The next prime is 25100123. The reversal of 25100100 is 100152.

It is a happy number.

The square root of 25100100 is 5010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 16064064 = 3006^2 + 4008^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150217 + ... + 150383.

Almost surely, 2^25100100 is an apocalyptic number.

25100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25100100 is the 5010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25100100

25100100 is an abundant number, since it is smaller than the sum of its proper divisors (54048697).

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

25100100 is a wasteful number, since it uses less digits than its factorization.

25100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The cubic root of 25100100 is about 292.7915130121.

Adding to 25100100 its reverse (100152), we get a palindrome (25200252).

It can be divided in two parts, 25100 and 100, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 25100100 in words is "twenty-five million, one hundred thousand, one hundred".