105105013 has 8 divisors (see below), whose sum is σ = 115046456. Its totient is φ = 95428800.

The previous prime is 105104983. The next prime is 105105023. The reversal of 105105013 is 310501501.

It can be written as a sum of positive squares in 4 ways, for example, as 288369 + 104816644 = 537^2 + 10238^2 .

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 105105013 - 2⁵ = 105104981 is a prime.

It is a super-2 number, since 2×105105013² = 22094127515460338, 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 (105105023) 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, 65478 + ... + 67063.

It is an arithmetic number, because the mean of its divisors is an integer number (14380807).

Almost surely, 2^105105013 is an apocalyptic number.

105105013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105105013 is a deficient number, since it is larger than the sum of its proper divisors (9941443).

105105013 is a wasteful number, since it uses less digits than its factorization.

105105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132615.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 105105013 is about 10252.0735951319. The cubic root of 105105013 is about 471.9266215648.

Adding to 105105013 its reverse (310501501), we get a palindrome (415606514).

The spelling of 105105013 in words is "one hundred five million, one hundred five thousand, thirteen".