105335858103283 has 16 divisors (see below), whose sum is σ = 108341081164800. Its totient is φ = 102356020255104.

The previous prime is 105335858103257. The next prime is 105335858103337. The reversal of 105335858103283 is 382301858533501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105335858103283 is a prime.

It is a super-2 number, since 2×105335858103283² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105335858103083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66154635 + ... + 67728187.

It is an arithmetic number, because the mean of its divisors is an integer number (6771317572800).

Almost surely, 2^{105335858103283} is an apocalyptic number.

105335858103283 is a deficient number, since it is larger than the sum of its proper divisors (3005223061517).

105335858103283 is a wasteful number, since it uses less digits than its factorization.

105335858103283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581618.

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 105335858103283 in words is "one hundred five trillion, three hundred thirty-five billion, eight hundred fifty-eight million, one hundred three thousand, two hundred eighty-three".