10825100 has 72 divisors (see below), whose sum is σ = 27633648. Its totient is φ = 3628800.

The previous prime is 10825093. The next prime is 10825147. The reversal of 10825100 is 152801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13922 + ... + 14678.

Almost surely, 2^10825100 is an apocalyptic number.

10825100 is a gapful number since it is divisible by the number (10) 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 10825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816824).

10825100 is an abundant number, since it is smaller than the sum of its proper divisors (16808548).

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

10825100 is a wasteful number, since it uses less digits than its factorization.

10825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 10825100 is about 3290.1519721739. The cubic root of 10825100 is about 221.2129966738.

Adding to 10825100 its reverse (152801), we get a palindrome (10977901).

The spelling of 10825100 in words is "ten million, eight hundred twenty-five thousand, one hundred".