105268768 has 24 divisors (see below), whose sum is σ = 226089360. Its totient is φ = 47849280.

The previous prime is 105268727. The next prime is 105268799. The reversal of 105268768 is 867862501.

It is a super-2 number, since 2×105268768² = 22163027032475648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149178 + ... + 149881.

It is an arithmetic number, because the mean of its divisors is an integer number (9420390).

Almost surely, 2^105268768 is an apocalyptic number.

It is an amenable number.

105268768 is an abundant number, since it is smaller than the sum of its proper divisors (120820592).

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

105268768 is a wasteful number, since it uses less digits than its factorization.

105268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299080 (or 299072 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 105268768 is about 10260.0569199201. The cubic root of 105268768 is about 472.1715836962.

The spelling of 105268768 in words is "one hundred five million, two hundred sixty-eight thousand, seven hundred sixty-eight".