105728115 has 16 divisors (see below), whose sum is σ = 169292448. Its totient is φ = 56345856.

The previous prime is 105728101. The next prime is 105728123. The reversal of 105728115 is 511827501.

It is not a de Polignac number, because 105728115 - 2¹⁷ = 105597043 is a prime.

It is a super-2 number, since 2×105728115² = 22356868602906450, which contains 22 as substring.

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, 38157 + ... + 40833.

It is an arithmetic number, because the mean of its divisors is an integer number (10580778).

Almost surely, 2^105728115 is an apocalyptic number.

105728115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105728115 is a deficient number, since it is larger than the sum of its proper divisors (63564333).

105728115 is a wasteful number, since it uses less digits than its factorization.

105728115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318.

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 105728115 is about 10282.4177604297. The cubic root of 105728115 is about 472.8573708014.

The spelling of 105728115 in words is "one hundred five million, seven hundred twenty-eight thousand, one hundred fifteen".