105014168 has 64 divisors (see below), whose sum is σ = 243440640. Its totient is φ = 41439744.

The previous prime is 105014167. The next prime is 105014171. The reversal of 105014168 is 861410501.

It is a super-2 number, since 2×105014168² = 22055950961464448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105014167) 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 15 ways as a sum of consecutive naturals, for example, 43571 + ... + 45917.

It is an arithmetic number, because the mean of its divisors is an integer number (3803760).

Almost surely, 2^105014168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105014168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121720320).

105014168 is an abundant number, since it is smaller than the sum of its proper divisors (138426472).

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

105014168 is a wasteful number, since it uses less digits than its factorization.

105014168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 105014168 is about 10247.6420702521. The cubic root of 105014168 is about 471.7906162165.

Adding to 105014168 its reverse (861410501), we get a palindrome (966424669).

The spelling of 105014168 in words is "one hundred five million, fourteen thousand, one hundred sixty-eight".