105768104 has 32 divisors (see below), whose sum is σ = 220941000. Its totient is φ = 47131392.

The previous prime is 105768059. The next prime is 105768127. The reversal of 105768104 is 401867501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99960004 + 5808100 = 9998^2 + 2410^2 .

It is a super-2 number, since 2×105768104² = 22373783647509632, which contains 22 as substring.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 14519 + ... + 20550.

Almost surely, 2^105768104 is an apocalyptic number.

It is an amenable number.

105768104 is an abundant number, since it is smaller than the sum of its proper divisors (115172896).

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

105768104 is a wasteful number, since it uses less digits than its factorization.

105768104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35117 (or 35113 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105768104 is about 10284.3621095331. The cubic root of 105768104 is about 472.9169787557.

The spelling of 105768104 in words is "one hundred five million, seven hundred sixty-eight thousand, one hundred four".