103399124383296 has 189 divisors, whose sum is σ = 344768359031499. Its totient is φ = 29542118876928.

The previous prime is 103399124383267. The next prime is 103399124383297. The reversal of 103399124383296 is 692383421993301.

The square root of 103399124383296 is 10168536.

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

103399124383296 is a `hidden beast` number, since 1 + 0 + 3 + 399 + 124 + 3 + 8 + 32 + 96 = 666.

103399124383296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (103399124383297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1708283785 + ... + 1708344311.

Almost surely, 2^{103399124383296} is an apocalyptic number.

103399124383296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103399124383296 is the 10168536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103399124383296

103399124383296 is an abundant number, since it is smaller than the sum of its proper divisors (241369234648203).

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

103399124383296 is an frugal number, since it uses more digits than its factorization.

103399124383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121086 (or 60539 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 103399124383296 in words is "one hundred three trillion, three hundred ninety-nine billion, one hundred twenty-four million, three hundred eighty-three thousand, two hundred ninety-six".