5344003124100 has 243 divisors, whose sum is σ = 16872440271141. Its totient is φ = 1414766520000.

The previous prime is 5344003124087. The next prime is 5344003124101. The reversal of 5344003124100 is 14213004435.

It is a happy number.

The square root of 5344003124100 is 2311710.

It is a perfect power (a square), and thus also a powerful number.

5344003124100 is a `hidden beast` number, since 5 + 34 + 400 + 3 + 124 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1923841124676 + 3420161999424 = 1387026^2 + 1849368^2 .

It is not an unprimeable number, because it can be changed into a prime (5344003124101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17407176147 + ... + 17407176453.

Almost surely, 2^{5344003124100} is an apocalyptic number.

5344003124100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5344003124100 is the 2311710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5344003124100

5344003124100 is an abundant number, since it is smaller than the sum of its proper divisors (11528437147041).

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

5344003124100 is a wasteful number, since it uses less digits than its factorization.

5344003124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 5344003124100 its reverse (14213004435), we get a palindrome (5358216128535).

The spelling of 5344003124100 in words is "five trillion, three hundred forty-four billion, three million, one hundred twenty-four thousand, one hundred".