25950100 has 72 divisors (see below), whose sum is σ = 63495936. Its totient is φ = 9120000.

The previous prime is 25950083. The next prime is 25950101. The reversal of 25950100 is 105952.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25950101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33720 + ... + 34480.

It is an arithmetic number, because the mean of its divisors is an integer number (881888).

Almost surely, 2^25950100 is an apocalyptic number.

25950100 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 25950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31747968).

25950100 is an abundant number, since it is smaller than the sum of its proper divisors (37545836).

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

25950100 is a wasteful number, since it uses less digits than its factorization.

25950100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 25950100 is about 5094.1240660196. The cubic root of 25950100 is about 296.0599616777.

The spelling of 25950100 in words is "twenty-five million, nine hundred fifty thousand, one hundred".