105116865 has 32 divisors (see below), whose sum is σ = 203523840. Its totient is φ = 45225984.

The previous prime is 105116839. The next prime is 105116867. The reversal of 105116865 is 568611501.

It is not a de Polignac number, because 105116865 - 2⁵ = 105116833 is a prime.

It is a super-2 number, since 2×105116865² = 22099110614856450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105116867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27660 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (6360120).

Almost surely, 2^105116865 is an apocalyptic number.

105116865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105116865 is a deficient number, since it is larger than the sum of its proper divisors (98406975).

105116865 is a wasteful number, since it uses less digits than its factorization.

105116865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58921.

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105116865 is about 10252.6516082426. The cubic root of 105116865 is about 471.9443595836.

The spelling of 105116865 in words is "one hundred five million, one hundred sixteen thousand, eight hundred sixty-five".