10115105166105 has 32 divisors (see below), whose sum is σ = 16888048646400. Its totient is φ = 5160102097920.

The previous prime is 10115105166077. The next prime is 10115105166169. The reversal of 10115105166105 is 50166150151101.

It is not a de Polignac number, because 10115105166105 - 2¹⁷ = 10115105035033 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36240885 + ... + 36518925.

It is an arithmetic number, because the mean of its divisors is an integer number (527751520200).

Almost surely, 2^{10115105166105} is an apocalyptic number.

10115105166105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10115105166105 is a deficient number, since it is larger than the sum of its proper divisors (6772943480295).

10115105166105 is a wasteful number, since it uses less digits than its factorization.

10115105166105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383521.

The product of its (nonzero) digits is 4500, while the sum is 33.

The spelling of 10115105166105 in words is "ten trillion, one hundred fifteen billion, one hundred five million, one hundred sixty-six thousand, one hundred five".