10872100 has 72 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 3991680.

The previous prime is 10872097. The next prime is 10872101. The reversal of 10872100 is 127801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872101) by changing a digit.

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, 66619 + ... + 66781.

It is an arithmetic number, because the mean of its divisors is an integer number (355880).

Almost surely, 2^10872100 is an apocalyptic number.

10872100 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 10872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).

10872100 is an abundant number, since it is smaller than the sum of its proper divisors (14751260).

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

10872100 is a wasteful number, since it uses less digits than its factorization.

10872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10872100 is about 3297.2867633859. The cubic root of 10872100 is about 221.5326857889.

Adding to 10872100 its reverse (127801), we get a palindrome (10999901).

The spelling of 10872100 in words is "ten million, eight hundred seventy-two thousand, one hundred".