105003013 has 8 divisors (see below), whose sum is σ = 106115328. Its totient is φ = 103896624.

The previous prime is 105003007. The next prime is 105003023. The reversal of 105003013 is 310300501.

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

It is a cyclic number.

It is not a de Polignac number, because 105003013 - 2⁹ = 105002501 is a prime.

It is a super-2 number, since 2×105003013² = 22051265478156338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105002984 and 105003002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105003023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40020 + ... + 42562.

It is an arithmetic number, because the mean of its divisors is an integer number (13264416).

Almost surely, 2^105003013 is an apocalyptic number.

It is an amenable number.

105003013 is a deficient number, since it is larger than the sum of its proper divisors (1112315).

105003013 is a wasteful number, since it uses less digits than its factorization.

105003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105003013 is about 10247.0977842509. The cubic root of 105003013 is about 471.7739105002.

Adding to 105003013 its reverse (310300501), we get a palindrome (415303514).

The spelling of 105003013 in words is "one hundred five million, three thousand, thirteen".