25250100 has 72 divisors (see below), whose sum is σ = 77370048. Its totient is φ = 6336000.

The previous prime is 25250087. The next prime is 25250123. The reversal of 25250100 is 105252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25250100.

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, 2625 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (1074584).

Almost surely, 2^25250100 is an apocalyptic number.

25250100 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 25250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38685024).

25250100 is an abundant number, since it is smaller than the sum of its proper divisors (52119948).

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

25250100 is a wasteful number, since it uses less digits than its factorization.

25250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 25250100 is about 5024.9477609225. The cubic root of 25250100 is about 293.3736027130.

Adding to 25250100 its reverse (105252), we get a palindrome (25355352).

The spelling of 25250100 in words is "twenty-five million, two hundred fifty thousand, one hundred".