105343412165 has 48 divisors (see below), whose sum is σ = 135589724928. Its totient is φ = 78526892928.

The previous prime is 105343412159. The next prime is 105343412173. The reversal of 105343412165 is 561214343501.

It is not a de Polignac number, because 105343412165 - 2⁴ = 105343412149 is a prime.

It is a super-2 number, since 2×105343412165² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28217639 + ... + 28221371.

It is an arithmetic number, because the mean of its divisors is an integer number (2824785936).

Almost surely, 2^105343412165 is an apocalyptic number.

It is an amenable number.

105343412165 is a deficient number, since it is larger than the sum of its proper divisors (30246312763).

105343412165 is a wasteful number, since it uses less digits than its factorization.

105343412165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 105343412165 its reverse (561214343501), we get a palindrome (666557755666).

The spelling of 105343412165 in words is "one hundred five billion, three hundred forty-three million, four hundred twelve thousand, one hundred sixty-five".