105013822873 has 24 divisors (see below), whose sum is σ = 111097665504. Its totient is φ = 99199900800.

The previous prime is 105013822867. The next prime is 105013822919. The reversal of 105013822873 is 378228310501.

It is a happy number.

It is not a de Polignac number, because 105013822873 - 2²⁵ = 104980268441 is a prime.

It is a super-2 number, since 2×105013822873² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105013826873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11838786 + ... + 11847652.

It is an arithmetic number, because the mean of its divisors is an integer number (4629069396).

Almost surely, 2^105013822873 is an apocalyptic number.

It is an amenable number.

105013822873 is a deficient number, since it is larger than the sum of its proper divisors (6083842631).

105013822873 is an equidigital number, since it uses as much as digits as its factorization.

105013822873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 105013822873 in words is "one hundred five billion, thirteen million, eight hundred twenty-two thousand, eight hundred seventy-three".