105003502513 has 16 divisors (see below), whose sum is σ = 129263671936. Its totient is φ = 83061313920.

The previous prime is 105003502501. The next prime is 105003502559. The reversal of 105003502513 is 315205300501.

It is not a de Polignac number, because 105003502513 - 2²¹ = 105001405361 is a prime.

It is a super-3 number, since 3×105003502513³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105003502913) 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, 293533 + ... + 544213.

It is an arithmetic number, because the mean of its divisors is an integer number (8078979496).

Almost surely, 2^105003502513 is an apocalyptic number.

105003502513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105003502513 is a deficient number, since it is larger than the sum of its proper divisors (24260169423).

105003502513 is a wasteful number, since it uses less digits than its factorization.

105003502513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255304.

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 105003502513 in words is "one hundred five billion, three million, five hundred two thousand, five hundred thirteen".