105806880 has 72 divisors (see below), whose sum is σ = 361070892. Its totient is φ = 28214784.

The previous prime is 105806867. The next prime is 105806903. The reversal of 105806880 is 88608501.

105806880 is a `hidden beast` number, since 10 + 580 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 9217296 = 9828^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105806880² = 22390191710668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35299 + ... + 38178.

Almost surely, 2^105806880 is an apocalyptic number.

105806880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105806880 is an abundant number, since it is smaller than the sum of its proper divisors (255264012).

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

105806880 is a wasteful number, since it uses less digits than its factorization.

105806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73498 (or 73487 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 105806880 is about 10286.2471290554. The cubic root of 105806880 is about 472.9747642555.

The spelling of 105806880 in words is "one hundred five million, eight hundred six thousand, eight hundred eighty".