105250013 has 8 divisors (see below), whose sum is σ = 116391936. Its totient is φ = 94370400.

The previous prime is 105249983. The next prime is 105250021. The reversal of 105250013 is 310052501.

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 105250013 - 2⁸ = 105249757 is a prime.

It is a super-2 number, since 2×105250013² = 22155130473000338, 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 = 105249973 and 105250000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64733 + ... + 66338.

It is an arithmetic number, because the mean of its divisors is an integer number (14548992).

Almost surely, 2^105250013 is an apocalyptic number.

It is an amenable number.

105250013 is a deficient number, since it is larger than the sum of its proper divisors (11141923).

105250013 is a wasteful number, since it uses less digits than its factorization.

105250013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131155.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105250013 is about 10259.1428979228. The cubic root of 105250013 is about 472.1435408614.

The spelling of 105250013 in words is "one hundred five million, two hundred fifty thousand, thirteen".