105521168 has 20 divisors (see below), whose sum is σ = 205215660. Its totient is φ = 52562304.

The previous prime is 105521161. The next prime is 105521173. The reversal of 105521168 is 861125501.

It can be written as a sum of positive squares in 2 ways, for example, as 13897984 + 91623184 = 3728^2 + 9572^2 .

It is a super-2 number, since 2×105521168² = 22269433792168448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105521168.

It is not an unprimeable number, because it can be changed into a prime (105521161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7955 + ... + 16562.

It is an arithmetic number, because the mean of its divisors is an integer number (10260783).

Almost surely, 2^105521168 is an apocalyptic number.

It is an amenable number.

105521168 is a deficient number, since it is larger than the sum of its proper divisors (99694492).

105521168 is a wasteful number, since it uses less digits than its factorization.

105521168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794 (or 24788 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 105521168 is about 10272.3496825215. The cubic root of 105521168 is about 472.5486533889.

Adding to 105521168 its reverse (861125501), we get a palindrome (966646669).

The spelling of 105521168 in words is "one hundred five million, five hundred twenty-one thousand, one hundred sixty-eight".