105321250305 has 48 divisors (see below), whose sum is σ = 193410204624. Its totient is φ = 52835758080.

The previous prime is 105321250301. The next prime is 105321250313. The reversal of 105321250305 is 503052123501.

It is a happy number.

105321250305 is a `hidden beast` number, since 1 + 0 + 532 + 125 + 0 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117679104 + 105203571201 = 10848^2 + 324351^2 .

It is not a de Polignac number, because 105321250305 - 2² = 105321250301 is a prime.

It is a super-2 number, since 2×105321250305² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105321250301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276567 + ... + 1356563.

It is an arithmetic number, because the mean of its divisors is an integer number (4029379263).

Almost surely, 2^105321250305 is an apocalyptic number.

105321250305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105321250305 is a deficient number, since it is larger than the sum of its proper divisors (88088954319).

105321250305 is a wasteful number, since it uses less digits than its factorization.

105321250305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81746 (or 81743 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105321250305 its reverse (503052123501), we get a palindrome (608373373806).

The spelling of 105321250305 in words is "one hundred five billion, three hundred twenty-one million, two hundred fifty thousand, three hundred five".