10544100 has 72 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 2409600.

The previous prime is 10544099. The next prime is 10544111. The reversal of 10544100 is 144501.

It is a super-2 number, since 2×10544100² = 222356089620000, which contains 22 as substring.

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 10544100.

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, 411 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^10544100 is an apocalyptic number.

10544100 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 10544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

10544100 is an abundant number, since it is smaller than the sum of its proper divisors (24328668).

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

10544100 is a wasteful number, since it uses less digits than its factorization.

10544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10544100 is about 3247.1679968859. The cubic root of 10544100 is about 219.2820951400.

Adding to 10544100 its reverse (144501), we get a palindrome (10688601).

The spelling of 10544100 in words is "ten million, five hundred forty-four thousand, one hundred".