105116465043 has 8 divisors (see below), whose sum is σ = 155728096400. Its totient is φ = 70077643344.

The previous prime is 105116464997. The next prime is 105116465081. The reversal of 105116465043 is 340564611501.

105116465043 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 646 + 5 + 0 + 4 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-105116465043 is a prime.

It is a super-2 number, since 2×105116465043² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105116464989 and 105116465007.

It is not an unprimeable number, because it can be changed into a prime (105116485043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1946601178 + ... + 1946601231.

It is an arithmetic number, because the mean of its divisors is an integer number (19466012050).

Almost surely, 2^105116465043 is an apocalyptic number.

105116465043 is a deficient number, since it is larger than the sum of its proper divisors (50611631357).

105116465043 is an equidigital number, since it uses as much as digits as its factorization.

105116465043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893202418 (or 3893202412 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105116465043 in words is "one hundred five billion, one hundred sixteen million, four hundred sixty-five thousand, forty-three".