105730078649 has 16 divisors (see below), whose sum is σ = 117933293520. Its totient is φ = 94116529920.

The previous prime is 105730078631. The next prime is 105730078691. The reversal of 105730078649 is 946870037501.

It can be written as a sum of positive squares in 8 ways, for example, as 9548221225 + 96181857424 = 97715^2 + 310132^2 .

It is a cyclic number.

It is not a de Polignac number, because 105730078649 - 2²⁴ = 105713301433 is a prime.

It is a super-2 number, since 2×105730078649² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105730078597 and 105730078606.

It is not an unprimeable number, because it can be changed into a prime (105730078249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138719 + ... + 480315.

It is an arithmetic number, because the mean of its divisors is an integer number (7370830845).

Almost surely, 2^105730078649 is an apocalyptic number.

It is an amenable number.

105730078649 is a deficient number, since it is larger than the sum of its proper divisors (12203214871).

105730078649 is a wasteful number, since it uses less digits than its factorization.

105730078649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342460.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 105730078649 in words is "one hundred five billion, seven hundred thirty million, seventy-eight thousand, six hundred forty-nine".