105135319299 has 16 divisors (see below), whose sum is σ = 148560251040. Its totient is φ = 65907740160.

The previous prime is 105135319271. The next prime is 105135319307. The reversal of 105135319299 is 992913531501.

It is not a de Polignac number, because 105135319299 - 2⁸ = 105135319043 is a prime.

It is a super-2 number, since 2×105135319299² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135319249) 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, 872872 + ... + 985989.

It is an arithmetic number, because the mean of its divisors is an integer number (9285015690).

Almost surely, 2^105135319299 is an apocalyptic number.

105135319299 is a deficient number, since it is larger than the sum of its proper divisors (43424931741).

105135319299 is a wasteful number, since it uses less digits than its factorization.

105135319299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859990.

The product of its (nonzero) digits is 328050, while the sum is 48.

The spelling of 105135319299 in words is "one hundred five billion, one hundred thirty-five million, three hundred nineteen thousand, two hundred ninety-nine".