105113013 has 8 divisors (see below), whose sum is σ = 146244288. Its totient is φ = 67028544.

The previous prime is 105113003. The next prime is 105113039. The reversal of 105113013 is 310311501.

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

It is not a de Polignac number, because 105113013 - 2⁵ = 105112981 is a prime.

It is a super-2 number, since 2×105113013² = 22097491003876338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105112983 and 105113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113003) 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, 761620 + ... + 761757.

It is an arithmetic number, because the mean of its divisors is an integer number (18280536).

Almost surely, 2^105113013 is an apocalyptic number.

It is an amenable number.

105113013 is a deficient number, since it is larger than the sum of its proper divisors (41131275).

105113013 is a wasteful number, since it uses less digits than its factorization.

105113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523403.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 105113013 is about 10252.4637526792. The cubic root of 105113013 is about 471.9385947241.

Adding to 105113013 its reverse (310311501), we get a palindrome (415424514).

The spelling of 105113013 in words is "one hundred five million, one hundred thirteen thousand, thirteen".