105606560 has 48 divisors (see below), whose sum is σ = 262634400. Its totient is φ = 40018176.

The previous prime is 105606511. The next prime is 105606619. The reversal of 105606560 is 65606501.

It is a super-2 number, since 2×105606560² = 22305491030067200, 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, 14330 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (5471550).

Almost surely, 2^105606560 is an apocalyptic number.

105606560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606560 is an abundant number, since it is smaller than the sum of its proper divisors (157027840).

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

105606560 is a wasteful number, since it uses less digits than its factorization.

105606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34773 (or 34765 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105606560 is about 10276.5052425423. The cubic root of 105606560 is about 472.6760875188.

The spelling of 105606560 in words is "one hundred five million, six hundred six thousand, five hundred sixty".