105252328 has 16 divisors (see below), whose sum is σ = 200584260. Its totient is φ = 51763200.

The previous prime is 105252319. The next prime is 105252331. The reversal of 105252328 is 823252501.

It can be written as a sum of positive squares in 2 ways, for example, as 89075844 + 16176484 = 9438^2 + 4022^2 .

It is a super-2 number, since 2×105252328² = 22156105098839168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105252296 and 105252305.

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, 107353 + ... + 108328.

Almost surely, 2^105252328 is an apocalyptic number.

It is an amenable number.

105252328 is a deficient number, since it is larger than the sum of its proper divisors (95331932).

105252328 is a wasteful number, since it uses less digits than its factorization.

105252328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215748 (or 215744 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105252328 is about 10259.2557234918. The cubic root of 105252328 is about 472.1470024739.

The spelling of 105252328 in words is "one hundred five million, two hundred fifty-two thousand, three hundred twenty-eight".