103188712900 has 243 divisors, whose sum is σ = 282857124501. Its totient is φ = 32565012480.

The previous prime is 103188712889. The next prime is 103188712903. The reversal of 103188712900 is 9217881301.

The square root of 103188712900 is 321230.

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

It can be written as a sum of positive squares in 13 ways, for example, as 100614571204 + 2574141696 = 317198^2 + 50736^2 .

It is not an unprimeable number, because it can be changed into a prime (103188712903) 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, 292319124 + ... + 292319476.

Almost surely, 2^103188712900 is an apocalyptic number.

103188712900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103188712900 is the 321230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103188712900

103188712900 is an abundant number, since it is smaller than the sum of its proper divisors (179668411601).

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

103188712900 is a wasteful number, since it uses less digits than its factorization.

103188712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 103188712900 in words is "one hundred three billion, one hundred eighty-eight million, seven hundred twelve thousand, nine hundred".