105556224 has 36 divisors (see below), whose sum is σ = 280935536. Its totient is φ = 35185152.

The previous prime is 105556193. The next prime is 105556237. The reversal of 105556224 is 422655501.

It is a super-2 number, since 2×105556224² = 22284232850276352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105556191 and 105556200.

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, 67954 + ... + 69489.

Almost surely, 2^105556224 is an apocalyptic number.

It is an amenable number.

105556224 is an abundant number, since it is smaller than the sum of its proper divisors (175379312).

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

105556224 is an equidigital number, since it uses as much as digits as its factorization.

105556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137462 (or 137448 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 105556224 is about 10274.0558690324. The cubic root of 105556224 is about 472.6009772710.

The spelling of 105556224 in words is "one hundred five million, five hundred fifty-six thousand, two hundred twenty-four".