105092768 has 24 divisors (see below), whose sum is σ = 225711360. Its totient is φ = 47769280.

The previous prime is 105092761. The next prime is 105092789. The reversal of 105092768 is 867290501.

It is a super-2 number, since 2×105092768² = 22088979771803648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105092761) 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 3 ways as a sum of consecutive naturals, for example, 148928 + ... + 149631.

It is an arithmetic number, because the mean of its divisors is an integer number (9404640).

Almost surely, 2^105092768 is an apocalyptic number.

It is an amenable number.

105092768 is an abundant number, since it is smaller than the sum of its proper divisors (120618592).

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

105092768 is a wasteful number, since it uses less digits than its factorization.

105092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298580 (or 298572 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 105092768 is about 10251.4763814779. The cubic root of 105092768 is about 471.9082939712.

The spelling of 105092768 in words is "one hundred five million, ninety-two thousand, seven hundred sixty-eight".