103893705605837 has 16 divisors (see below), whose sum is σ = 119922997362432. Its totient is φ = 88164732631680.

The previous prime is 103893705605827. The next prime is 103893705605849. The reversal of 103893705605837 is 738506507398301.

It is a cyclic number.

It is not a de Polignac number, because 103893705605837 - 2²⁰ = 103893704557261 is a prime.

It is a super-3 number, since 3×103893705605837³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103893705605827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144864089 + ... + 145579502.

It is an arithmetic number, because the mean of its divisors is an integer number (7495187335152).

Almost surely, 2^{103893705605837} is an apocalyptic number.

It is an amenable number.

103893705605837 is a deficient number, since it is larger than the sum of its proper divisors (16029291756595).

103893705605837 is a wasteful number, since it uses less digits than its factorization.

103893705605837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290444108.

The product of its (nonzero) digits is 114307200, while the sum is 65.

The spelling of 103893705605837 in words is "one hundred three trillion, eight hundred ninety-three billion, seven hundred five million, six hundred five thousand, eight hundred thirty-seven".