105165915 has 16 divisors (see below), whose sum is σ = 168756000. Its totient is φ = 55924992.

The previous prime is 105165899. The next prime is 105165923. The reversal of 105165915 is 519561501.

It is not a de Polignac number, because 105165915 - 2⁴ = 105165899 is a prime.

It is a super-3 number, since 3×105165915³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (10547250).

Almost surely, 2^105165915 is an apocalyptic number.

105165915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105165915 is a deficient number, since it is larger than the sum of its proper divisors (63590085).

105165915 is a wasteful number, since it uses less digits than its factorization.

105165915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20446.

The product of its (nonzero) digits is 6750, while the sum is 33.

The square root of 105165915 is about 10255.0433933748. The cubic root of 105165915 is about 472.0177549459.

It can be divided in two parts, 1051 and 65915, that added together give a palindrome (66966).

The spelling of 105165915 in words is "one hundred five million, one hundred sixty-five thousand, nine hundred fifteen".