105220521003 has 32 divisors (see below), whose sum is σ = 157687036416. Its totient is φ = 61923172608.

The previous prime is 105220520981. The next prime is 105220521019. The reversal of 105220521003 is 300125022501.

It is not a de Polignac number, because 105220521003 - 2⁵ = 105220520971 is a prime.

It is a super-2 number, since 2×105220521003² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105220521083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6142176 + ... + 6159282.

It is an arithmetic number, because the mean of its divisors is an integer number (4927719888).

Almost surely, 2^105220521003 is an apocalyptic number.

105220521003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105220521003 is a deficient number, since it is larger than the sum of its proper divisors (52466515413).

105220521003 is a wasteful number, since it uses less digits than its factorization.

105220521003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24003.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 105220521003 its reverse (300125022501), we get a palindrome (405345543504).

The spelling of 105220521003 in words is "one hundred five billion, two hundred twenty million, five hundred twenty-one thousand, three".