105830740799 has 16 divisors (see below), whose sum is σ = 121550112768. Its totient is φ = 90261935712.

The previous prime is 105830740793. The next prime is 105830740853. The reversal of 105830740799 is 997047038501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105830740799 is a prime.

It is a super-2 number, since 2×105830740799² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105830740799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105830740793) 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, 3476804 + ... + 3507110.

It is an arithmetic number, because the mean of its divisors is an integer number (7596882048).

Almost surely, 2^105830740799 is an apocalyptic number.

105830740799 is a deficient number, since it is larger than the sum of its proper divisors (15719371969).

105830740799 is a wasteful number, since it uses less digits than its factorization.

105830740799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32774.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 105830740799 in words is "one hundred five billion, eight hundred thirty million, seven hundred forty thousand, seven hundred ninety-nine".