105568020 has 72 divisors (see below), whose sum is σ = 330570240. Its totient is φ = 27241920.

The previous prime is 105568007. The next prime is 105568027. The reversal of 105568020 is 20865501.

105568020 is a `hidden beast` number, since 10 + 556 + 80 + 20 = 666.

It is a super-2 number, since 2×105568020² = 22289213693440800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105568027) by changing a digit.

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, 3880 + ... + 15039.

Almost surely, 2^105568020 is an apocalyptic number.

105568020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105568020 is an abundant number, since it is smaller than the sum of its proper divisors (225002220).

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

105568020 is a wasteful number, since it uses less digits than its factorization.

105568020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18965 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105568020 is about 10274.6299203426. The cubic root of 105568020 is about 472.6185811389.

The spelling of 105568020 in words is "one hundred five million, five hundred sixty-eight thousand, twenty".