105220575 has 72 divisors (see below), whose sum is σ = 200919680. Its totient is φ = 52488000.

The previous prime is 105220573. The next prime is 105220589. The reversal of 105220575 is 575022501.

It is a happy number.

It is not a de Polignac number, because 105220575 - 2¹ = 105220573 is a prime.

It is a super-2 number, since 2×105220575² = 22142738806661250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105220573) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 645444 + ... + 645606.

Almost surely, 2^105220575 is an apocalyptic number.

105220575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105220575 is a deficient number, since it is larger than the sum of its proper divisors (95699105).

105220575 is a wasteful number, since it uses less digits than its factorization.

105220575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105220575 is about 10257.7080773436. The cubic root of 105220575 is about 472.0995178816.

The spelling of 105220575 in words is "one hundred five million, two hundred twenty thousand, five hundred seventy-five".