103268438784 has 144 divisors (see below), whose sum is σ = 349009239040. Its totient is φ = 29505254400.

The previous prime is 103268438759. The next prime is 103268438803. The reversal of 103268438784 is 487834862301.

103268438784 is a `hidden beast` number, since 103 + 2 + 6 + 84 + 387 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103268438784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018792 + ... + 1115559.

Almost surely, 2^103268438784 is an apocalyptic number.

103268438784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103268438784 is an abundant number, since it is smaller than the sum of its proper divisors (245740800256).

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

103268438784 is an equidigital number, since it uses as much as digits as its factorization.

103268438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134383 (or 2134363 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 103268438784 in words is "one hundred three billion, two hundred sixty-eight million, four hundred thirty-eight thousand, seven hundred eighty-four".