105351162616235 has 16 divisors (see below), whose sum is σ = 127546273905120. Its totient is φ = 83531082324480.

The previous prime is 105351162616229. The next prime is 105351162616237. The reversal of 105351162616235 is 532616261153501.

It is not a de Polignac number, because 105351162616235 - 2¹⁰ = 105351162615211 is a prime.

It is a super-3 number, since 3×105351162616235³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105351162616235.

It is not an unprimeable number, because it can be changed into a prime (105351162616237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7378025 + ... + 16283045.

It is an arithmetic number, because the mean of its divisors is an integer number (7971642119070).

Almost surely, 2^{105351162616235} is an apocalyptic number.

105351162616235 is a deficient number, since it is larger than the sum of its proper divisors (22195111288885).

105351162616235 is a wasteful number, since it uses less digits than its factorization.

105351162616235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926078.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 105351162616235 in words is "one hundred five trillion, three hundred fifty-one billion, one hundred sixty-two million, six hundred sixteen thousand, two hundred thirty-five".