105102013 has 4 divisors (see below), whose sum is σ = 105134140. Its totient is φ = 105069888.

The previous prime is 105101989. The next prime is 105102017. The reversal of 105102013 is 310201501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20958084 + 84143929 = 4578^2 + 9173^2 .

It is a cyclic number.

It is not a de Polignac number, because 105102013 - 2⁵ = 105101981 is a prime.

It is a super-2 number, since 2×105102013² = 22092866273304338, 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 = 105101984 and 105102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105102017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10518 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (26283535).

Almost surely, 2^105102013 is an apocalyptic number.

It is an amenable number.

105102013 is a deficient number, since it is larger than the sum of its proper divisors (32127).

105102013 is an equidigital number, since it uses as much as digits as its factorization.

105102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32126.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105102013 is about 10251.9272822236. The cubic root of 105102013 is about 471.9221314735.

Adding to 105102013 its reverse (310201501), we get a palindrome (415303514).

The spelling of 105102013 in words is "one hundred five million, one hundred two thousand, thirteen".