105000313503 has 8 divisors (see below), whose sum is σ = 140015478400. Its totient is φ = 69992678808.

The previous prime is 105000313499. The next prime is 105000313511. The reversal of 105000313503 is 305313000501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105000313503 - 2² = 105000313499 is a prime.

It is a super-2 number, since 2×105000313503² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105000313503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000313573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1849933 + ... + 1905846.

It is an arithmetic number, because the mean of its divisors is an integer number (17501934800).

Almost surely, 2^105000313503 is an apocalyptic number.

105000313503 is a deficient number, since it is larger than the sum of its proper divisors (35015164897).

105000313503 is an equidigital number, since it uses as much as digits as its factorization.

105000313503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765101.

The product of its (nonzero) digits is 675, while the sum is 21.

The spelling of 105000313503 in words is "one hundred five billion, three hundred thirteen thousand, five hundred three".