105299319 has 16 divisors (see below), whose sum is σ = 147294720. Its totient is φ = 66820320.

The previous prime is 105299297. The next prime is 105299321. The reversal of 105299319 is 913992501.

It is not a de Polignac number, because 105299319 - 2⁷ = 105299191 is a prime.

It is a super-2 number, since 2×105299319² = 22175893163727522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105299329) 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 15 ways as a sum of consecutive naturals, for example, 2347 + ... + 14700.

It is an arithmetic number, because the mean of its divisors is an integer number (9205920).

Almost surely, 2^105299319 is an apocalyptic number.

105299319 is a deficient number, since it is larger than the sum of its proper divisors (41995401).

105299319 is a wasteful number, since it uses less digits than its factorization.

105299319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17150.

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 105299319 is about 10261.5456438102. The cubic root of 105299319 is about 472.2172570048.

The spelling of 105299319 in words is "one hundred five million, two hundred ninety-nine thousand, three hundred nineteen".