105110556005819 has 16 divisors (see below), whose sum is σ = 129719336398848. Its totient is φ = 82937789950752.

The previous prime is 105110556005773. The next prime is 105110556005843. The reversal of 105110556005819 is 918500655011501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105110556005819 is a prime.

It is a super-2 number, since 2×105110556005819² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105110556005219) 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, 1573619267 + ... + 1573686060.

It is an arithmetic number, because the mean of its divisors is an integer number (8107458524928).

Almost surely, 2^{105110556005819} is an apocalyptic number.

105110556005819 is a deficient number, since it is larger than the sum of its proper divisors (24608780393029).

105110556005819 is a wasteful number, since it uses less digits than its factorization.

105110556005819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147305714.

The product of its (nonzero) digits is 270000, while the sum is 47.

The spelling of 105110556005819 in words is "one hundred five trillion, one hundred ten billion, five hundred fifty-six million, five thousand, eight hundred nineteen".