105300968 has 8 divisors (see below), whose sum is σ = 197439330. Its totient is φ = 52650480.

The previous prime is 105300961. The next prime is 105300989. The reversal of 105300968 is 869003501.

It can be written as a sum of positive squares in only one way, i.e., 96786244 + 8514724 = 9838^2 + 2918^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105300968² = 22176587723474048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105300961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6581303 + ... + 6581318.

Almost surely, 2^105300968 is an apocalyptic number.

It is an amenable number.

105300968 is a deficient number, since it is larger than the sum of its proper divisors (92138362).

105300968 is a wasteful number, since it uses less digits than its factorization.

105300968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13162627 (or 13162623 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105300968 is about 10261.6259920151. The cubic root of 105300968 is about 472.2197219850.

The spelling of 105300968 in words is "one hundred five million, three hundred thousand, nine hundred sixty-eight".