105815128 has 16 divisors (see below), whose sum is σ = 200916000. Its totient is φ = 52237536.

The previous prime is 105815107. The next prime is 105815167. The reversal of 105815128 is 821518501.

It is a super-2 number, since 2×105815128² = 22393682627312768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105815128.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 83083 + ... + 84346.

It is an arithmetic number, because the mean of its divisors is an integer number (12557250).

Almost surely, 2^105815128 is an apocalyptic number.

It is an amenable number.

105815128 is a deficient number, since it is larger than the sum of its proper divisors (95100872).

105815128 is a wasteful number, since it uses less digits than its factorization.

105815128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167514 (or 167510 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 31.

The square root of 105815128 is about 10286.6480449173. The cubic root of 105815128 is about 472.9870539241.

The spelling of 105815128 in words is "one hundred five million, eight hundred fifteen thousand, one hundred twenty-eight".