105196328 has 32 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 50928192.

The previous prime is 105196327. The next prime is 105196349. The reversal of 105196328 is 823691501.

It is a super-2 number, since 2×105196328² = 22132534849367168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105196327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70001 + ... + 71487.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^105196328 is an apocalyptic number.

It is an amenable number.

105196328 is a deficient number, since it is larger than the sum of its proper divisors (98362072).

105196328 is a wasteful number, since it uses less digits than its factorization.

105196328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105196328 is about 10256.5261175507. The cubic root of 105196328 is about 472.0632516019.

It can be divided in two parts, 1051 and 96328, that added together give a palindrome (97379).

The spelling of 105196328 in words is "one hundred five million, one hundred ninety-six thousand, three hundred twenty-eight".