105312879199 has 16 divisors (see below), whose sum is σ = 121962516480. Its totient is φ = 89871948160.

The previous prime is 105312879193. The next prime is 105312879227. The reversal of 105312879199 is 991978213501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105312879199 - 2⁹ = 105312878687 is a prime.

It is a super-2 number, since 2×105312879199² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312879193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663589 + ... + 806830.

It is an arithmetic number, because the mean of its divisors is an integer number (7622657280).

Almost surely, 2^105312879199 is an apocalyptic number.

105312879199 is a deficient number, since it is larger than the sum of its proper divisors (16649637281).

105312879199 is a wasteful number, since it uses less digits than its factorization.

105312879199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470830.

The product of its (nonzero) digits is 1224720, while the sum is 55.

The spelling of 105312879199 in words is "one hundred five billion, three hundred twelve million, eight hundred seventy-nine thousand, one hundred ninety-nine".