25961100 has 72 divisors (see below), whose sum is σ = 81953088. Its totient is φ = 6292800.

The previous prime is 25961099. The next prime is 25961107. The reversal of 25961100 is 116952.

It is not an unprimeable number, because it can be changed into a prime (25961107) 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, 634 + ... + 7233.

Almost surely, 2^25961100 is an apocalyptic number.

25961100 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 25961100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40976544).

25961100 is an abundant number, since it is smaller than the sum of its proper divisors (55991988).

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

25961100 is a wasteful number, since it uses less digits than its factorization.

25961100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 25961100 is about 5095.2036269417. The cubic root of 25961100 is about 296.1017881001.

The spelling of 25961100 in words is "twenty-five million, nine hundred sixty-one thousand, one hundred".