105942728 has 16 divisors (see below), whose sum is σ = 199513500. Its totient is φ = 52739136.

The previous prime is 105942719. The next prime is 105942731. The reversal of 105942728 is 827249501.

It can be written as a sum of positive squares in 2 ways, for example, as 98446084 + 7496644 = 9922^2 + 2738^2 .

It is a super-2 number, since 2×105942728² = 22447723232163968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105942691 and 105942700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27083 + ... + 30746.

Almost surely, 2^105942728 is an apocalyptic number.

It is an amenable number.

105942728 is a deficient number, since it is larger than the sum of its proper divisors (93570772).

105942728 is a wasteful number, since it uses less digits than its factorization.

105942728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58064 (or 58060 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 105942728 is about 10292.8483909946. The cubic root of 105942728 is about 473.1770989142.

The spelling of 105942728 in words is "one hundred five million, nine hundred forty-two thousand, seven hundred twenty-eight".