105345160 has 16 divisors (see below), whose sum is σ = 237026700. Its totient is φ = 42138048.

The previous prime is 105345151. The next prime is 105345167. The reversal of 105345160 is 61543501.

It can be written as a sum of positive squares in 2 ways, for example, as 87721956 + 17623204 = 9366^2 + 4198^2 .

It is a super-2 number, since 2×105345160² = 22195205470851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105345167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316775 + ... + 1316854.

Almost surely, 2^105345160 is an apocalyptic number.

105345160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105345160 is an abundant number, since it is smaller than the sum of its proper divisors (131681540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105345160 is a wasteful number, since it uses less digits than its factorization.

105345160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633640 (or 2633636 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105345160 is about 10263.7790311366. The cubic root of 105345160 is about 472.2857720753.

Adding to 105345160 its reverse (61543501), we get a palindrome (166888661).

The spelling of 105345160 in words is "one hundred five million, three hundred forty-five thousand, one hundred sixty".