103238605209600 has 2565 divisors, whose sum is σ = 448005271014977. Its totient is φ = 23597395476480.

The previous prime is 103238605209587. The next prime is 103238605209611. The reversal of 103238605209600 is 6902506832301.

The square root of 103238605209600 is 10160640.

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

103238605209600 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 8 + 60 + 520 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37165897875456 + 66072707334144 = 6096384^2 + 8128512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14748372172797 + ... + 14748372172803.

Almost surely, 2^{103238605209600} is an apocalyptic number.

103238605209600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103238605209600 is the 10160640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103238605209600

103238605209600 is an abundant number, since it is smaller than the sum of its proper divisors (344766665805377).

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

103238605209600 is an frugal number, since it uses more digits than its factorization.

103238605209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 103238605209600 in words is "one hundred three trillion, two hundred thirty-eight billion, six hundred five million, two hundred nine thousand, six hundred".