105005226003 has 16 divisors (see below), whose sum is σ = 141408374016. Its totient is φ = 69302930400.

The previous prime is 105005225947. The next prime is 105005226031. The reversal of 105005226003 is 300622500501.

It is not a de Polignac number, because 105005226003 - 2¹⁸ = 105004963859 is a prime.

It is a super-2 number, since 2×105005226003² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005426003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5457426 + ... + 5476632.

It is an arithmetic number, because the mean of its divisors is an integer number (8838023376).

Almost surely, 2^105005226003 is an apocalyptic number.

105005226003 is a deficient number, since it is larger than the sum of its proper divisors (36403148013).

105005226003 is a wasteful number, since it uses less digits than its factorization.

105005226003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37354.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 105005226003 its reverse (300622500501), we get a palindrome (405627726504).

The spelling of 105005226003 in words is "one hundred five billion, five million, two hundred twenty-six thousand, three".