103130727300 has 216 divisors, whose sum is σ = 325783455816. Its totient is φ = 27287470080.

The previous prime is 103130727229. The next prime is 103130727331. The reversal of 103130727300 is 3727031301.

103130727300 is a `hidden beast` number, since 1 + 0 + 31 + 307 + 27 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1655350596 + 101475376704 = 40686^2 + 318552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117594462 + ... + 117595338.

Almost surely, 2^103130727300 is an apocalyptic number.

103130727300 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 103130727300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162891727908).

103130727300 is an abundant number, since it is smaller than the sum of its proper divisors (222652728516).

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

103130727300 is a wasteful number, since it uses less digits than its factorization.

103130727300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 103130727300 its reverse (3727031301), we get a palindrome (106857758601).

The spelling of 103130727300 in words is "one hundred three billion, one hundred thirty million, seven hundred twenty-seven thousand, three hundred".