105775680 has 56 divisors (see below), whose sum is σ = 335840832. Its totient is φ = 28206592.

The previous prime is 105775669. The next prime is 105775727. The reversal of 105775680 is 86577501.

It is a super-2 number, since 2×105775680² = 22376988958924800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54132 + ... + 56051.

Almost surely, 2^105775680 is an apocalyptic number.

105775680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105775680 is an abundant number, since it is smaller than the sum of its proper divisors (230065152).

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

105775680 is a wasteful number, since it uses less digits than its factorization.

105775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110203 (or 110193 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 105775680 is about 10284.7304291362. The cubic root of 105775680 is about 472.9282699148.

The spelling of 105775680 in words is "one hundred five million, seven hundred seventy-five thousand, six hundred eighty".