10103349600 has 216 divisors, whose sum is σ = 35866735632. Its totient is φ = 2676096000.

The previous prime is 10103349589. The next prime is 10103349653. The reversal of 10103349600 is 694330101.

10103349600 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 3 + 49 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1082554 + ... + 1091846.

It is an arithmetic number, because the mean of its divisors is an integer number (166049702).

Almost surely, 2^10103349600 is an apocalyptic number.

10103349600 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 10103349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933367816).

10103349600 is an abundant number, since it is smaller than the sum of its proper divisors (25763386032).

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

10103349600 is a wasteful number, since it uses less digits than its factorization.

10103349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10103349600 its reverse (694330101), we get a palindrome (10797679701).

The spelling of 10103349600 in words is "ten billion, one hundred three million, three hundred forty-nine thousand, six hundred".