103768067293 has 48 divisors (see below), whose sum is σ = 121002336000. Its totient is φ = 88774421120.

The previous prime is 103768067251. The next prime is 103768067309. The reversal of 103768067293 is 392760867301.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-103768067293 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103768067293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103768067203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44363118 + ... + 44365456.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882000).

Almost surely, 2^103768067293 is an apocalyptic number.

It is an amenable number.

103768067293 is a deficient number, since it is larger than the sum of its proper divisors (17234268707).

103768067293 is a wasteful number, since it uses less digits than its factorization.

103768067293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 103768067293 in words is "one hundred three billion, seven hundred sixty-eight million, sixty-seven thousand, two hundred ninety-three".