105850313 has 8 divisors (see below), whose sum is σ = 112384008. Its totient is φ = 99350784.

The previous prime is 105850291. The next prime is 105850321. The reversal of 105850313 is 313058501.

It can be written as a sum of positive squares in 4 ways, for example, as 9653449 + 96196864 = 3107^2 + 9808^2 .

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 105850313 - 2⁶ = 105850249 is a prime.

It is a super-2 number, since 2×105850313² = 22408577524395938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105850343) 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, 2006 + ... + 14687.

It is an arithmetic number, because the mean of its divisors is an integer number (14048001).

Almost surely, 2^105850313 is an apocalyptic number.

It is an amenable number.

105850313 is a deficient number, since it is larger than the sum of its proper divisors (6533695).

105850313 is a wasteful number, since it uses less digits than its factorization.

105850313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17083.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105850313 is about 10288.3581294588. The cubic root of 105850313 is about 473.0394730365.

The spelling of 105850313 in words is "one hundred five million, eight hundred fifty thousand, three hundred thirteen".