105540168 has 32 divisors (see below), whose sum is σ = 264290400. Its totient is φ = 35121408.

The previous prime is 105540143. The next prime is 105540173. The reversal of 105540168 is 861045501.

It is a super-2 number, since 2×105540168² = 22277454122936448, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12480 + ... + 19152.

It is an arithmetic number, because the mean of its divisors is an integer number (8259075).

Almost surely, 2^105540168 is an apocalyptic number.

It is an amenable number.

105540168 is an abundant number, since it is smaller than the sum of its proper divisors (158750232).

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

105540168 is a wasteful number, since it uses less digits than its factorization.

105540168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105540168 is about 10273.2744536491. The cubic root of 105540168 is about 472.5770138457.

Adding to 105540168 its reverse (861045501), we get a palindrome (966585669).

The spelling of 105540168 in words is "one hundred five million, five hundred forty thousand, one hundred sixty-eight".