105021245565 has 48 divisors (see below), whose sum is σ = 187999418880. Its totient is φ = 54178427520.

The previous prime is 105021245561. The next prime is 105021245611. The reversal of 105021245565 is 565542120501.

105021245565 is a `hidden beast` number, since 1 + 0 + 50 + 2 + 1 + 2 + 45 + 565 = 666.

It is not a de Polignac number, because 105021245565 - 2² = 105021245561 is a prime.

It is a super-2 number, since 2×105021245565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105021245561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3070126 + ... + 3104144.

It is an arithmetic number, because the mean of its divisors is an integer number (3916654560).

Almost surely, 2^105021245565 is an apocalyptic number.

105021245565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105021245565 is a deficient number, since it is larger than the sum of its proper divisors (82978173315).

105021245565 is a wasteful number, since it uses less digits than its factorization.

105021245565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274 (or 36271 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105021245565 in words is "one hundred five billion, twenty-one million, two hundred forty-five thousand, five hundred sixty-five".