105345345165 has 32 divisors (see below), whose sum is σ = 169577058816. Its totient is φ = 55843253760.

The previous prime is 105345345151. The next prime is 105345345191. The reversal of 105345345165 is 561543543501.

It is a happy number.

It is not a de Polignac number, because 105345345165 - 2⁷ = 105345345037 is a prime.

It is a super-2 number, since 2×105345345165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035260 + ... + 3069770.

It is an arithmetic number, because the mean of its divisors is an integer number (5299283088).

Almost surely, 2^105345345165 is an apocalyptic number.

105345345165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105345345165 is a deficient number, since it is larger than the sum of its proper divisors (64231713651).

105345345165 is a wasteful number, since it uses less digits than its factorization.

105345345165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35749.

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 105345345165 its reverse (561543543501), we get a palindrome (666888888666).

The spelling of 105345345165 in words is "one hundred five billion, three hundred forty-five million, three hundred forty-five thousand, one hundred sixty-five".