105083328 has 112 divisors (see below), whose sum is σ = 325672704. Its totient is φ = 29276160.

The previous prime is 105083311. The next prime is 105083339. The reversal of 105083328 is 823380501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105083328² = 22085011647111168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105083295 and 105083304.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54151 + ... + 56057.

It is an arithmetic number, because the mean of its divisors is an integer number (2907792).

Almost surely, 2^105083328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162836352).

105083328 is an abundant number, since it is smaller than the sum of its proper divisors (220589376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105083328 is a wasteful number, since it uses less digits than its factorization.

105083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105083328 is about 10251.0159496510. The cubic root of 105083328 is about 471.8941637642.

The spelling of 105083328 in words is "one hundred five million, eighty-three thousand, three hundred twenty-eight".