105008013003 has 16 divisors (see below), whose sum is σ = 140829131520. Its totient is φ = 69596663136.

The previous prime is 105008012983. The next prime is 105008013083. The reversal of 105008013003 is 300310800501.

It is a happy number.

It is not a de Polignac number, because 105008013003 - 2⁵ = 105008012971 is a prime.

It is a super-2 number, since 2×105008013003² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105008013083) 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, 712176 + ... + 846882.

It is an arithmetic number, because the mean of its divisors is an integer number (8801820720).

Almost surely, 2^105008013003 is an apocalyptic number.

105008013003 is a deficient number, since it is larger than the sum of its proper divisors (35821118517).

105008013003 is a wasteful number, since it uses less digits than its factorization.

105008013003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136226.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 105008013003 its reverse (300310800501), we get a palindrome (405318813504).

The spelling of 105008013003 in words is "one hundred five billion, eight million, thirteen thousand, three".