105013103 has 8 divisors (see below), whose sum is σ = 113918448. Its totient is φ = 96225984.

The previous prime is 105013091. The next prime is 105013109. The reversal of 105013103 is 301310501.

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 105013103 - 2⁶ = 105013039 is a prime.

It is a super-2 number, since 2×105013103² = 22055503603377218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013109) 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, 27701 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (14239806).

Almost surely, 2^105013103 is an apocalyptic number.

105013103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105013103 is a deficient number, since it is larger than the sum of its proper divisors (8905345).

105013103 is a wasteful number, since it uses less digits than its factorization.

105013103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59113.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105013103 is about 10247.5901069471. The cubic root of 105013103 is about 471.7890213247.

Adding to 105013103 its reverse (301310501), we get a palindrome (406323604).

The spelling of 105013103 in words is "one hundred five million, thirteen thousand, one hundred three".