105572225 has 24 divisors (see below), whose sum is σ = 143318208. Its totient is φ = 76507200.

The previous prime is 105572213. The next prime is 105572239. The reversal of 105572225 is 522275501.

It is not a de Polignac number, because 105572225 - 2⁶ = 105572161 is a prime.

It is a super-2 number, since 2×105572225² = 22290989382901250, 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 23 ways as a sum of consecutive naturals, for example, 108692 + ... + 109658.

It is an arithmetic number, because the mean of its divisors is an integer number (5971592).

Almost surely, 2^105572225 is an apocalyptic number.

It is an amenable number.

105572225 is a deficient number, since it is larger than the sum of its proper divisors (37745983).

105572225 is a wasteful number, since it uses less digits than its factorization.

105572225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 105572225 is about 10274.8345485463. The cubic root of 105572225 is about 472.6248561919.

The spelling of 105572225 in words is "one hundred five million, five hundred seventy-two thousand, two hundred twenty-five".