105357705615076 has 12 divisors (see below), whose sum is σ = 184376056677372. Its totient is φ = 52678832278688.

The previous prime is 105357705615059. The next prime is 105357705615083. The reversal of 105357705615076 is 670516507753501.

It can be written as a sum of positive squares in 2 ways, for example, as 26255785921600 + 79101919693476 = 5124040^2 + 8893926^2 .

It is a super-2 number, since 2×105357705615076² (a number of 29 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 105357705615076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17901726 + ... + 23047498.

It is an arithmetic number, because the mean of its divisors is an integer number (15364671389781).

Almost surely, 2^{105357705615076} is an apocalyptic number.

It is an amenable number.

105357705615076 is a deficient number, since it is larger than the sum of its proper divisors (79018351062296).

105357705615076 is a wasteful number, since it uses less digits than its factorization.

105357705615076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264430 (or 10264428 counting only the distinct ones).

The product of its (nonzero) digits is 23152500, while the sum is 58.

The spelling of 105357705615076 in words is "one hundred five trillion, three hundred fifty-seven billion, seven hundred five million, six hundred fifteen thousand, seventy-six".