10103446200 has 96 divisors (see below), whose sum is σ = 31349779200. Its totient is φ = 2691749760.

The previous prime is 10103446147. The next prime is 10103446207. The reversal of 10103446200 is 264430101.

10103446200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103446207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690561 + ... + 705039.

It is an arithmetic number, because the mean of its divisors is an integer number (326560200).

Almost surely, 2^10103446200 is an apocalyptic number.

10103446200 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 10103446200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674889600).

10103446200 is an abundant number, since it is smaller than the sum of its proper divisors (21246333000).

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

10103446200 is a wasteful number, since it uses less digits than its factorization.

10103446200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15661 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10103446200 its reverse (264430101), we get a palindrome (10367876301).

The spelling of 10103446200 in words is "ten billion, one hundred three million, four hundred forty-six thousand, two hundred".