105121165665 has 16 divisors (see below), whose sum is σ = 168488438976. Its totient is φ = 55966430400.

The previous prime is 105121165621. The next prime is 105121165673. The reversal of 105121165665 is 566561121501.

It is not a de Polignac number, because 105121165665 - 2¹¹ = 105121163617 is a prime.

It is a super-2 number, since 2×105121165665² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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, 6128106 + ... + 6145235.

It is an arithmetic number, because the mean of its divisors is an integer number (10530527436).

Almost surely, 2^105121165665 is an apocalyptic number.

105121165665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105121165665 is a deficient number, since it is larger than the sum of its proper divisors (63367273311).

105121165665 is a wasteful number, since it uses less digits than its factorization.

105121165665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273920.

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 105121165665 in words is "one hundred five billion, one hundred twenty-one million, one hundred sixty-five thousand, six hundred sixty-five".