103872816593 has 32 divisors (see below), whose sum is σ = 134607728640. Its totient is φ = 77838926400.

The previous prime is 103872816581. The next prime is 103872816601. The reversal of 103872816593 is 395618278301.

It is a de Polignac number, because none of the positive numbers 2^k-103872816593 is a prime.

It is a super-2 number, since 2×103872816593² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103872816293) 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 31 ways as a sum of consecutive naturals, for example, 10630196 + ... + 10639962.

It is an arithmetic number, because the mean of its divisors is an integer number (4206491520).

Almost surely, 2^103872816593 is an apocalyptic number.

103872816593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103872816593 is a deficient number, since it is larger than the sum of its proper divisors (30734912047).

103872816593 is a wasteful number, since it uses less digits than its factorization.

103872816593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 103872816593 in words is "one hundred three billion, eight hundred seventy-two million, eight hundred sixteen thousand, five hundred ninety-three".