101033328 has 80 divisors (see below), whose sum is σ = 286588800. Its totient is φ = 30416640.

The previous prime is 101033297. The next prime is 101033333. The reversal of 101033328 is 823330101.

It is a happy number.

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, 93978 + ... + 95046.

It is an arithmetic number, because the mean of its divisors is an integer number (3582360).

Almost surely, 2^101033328 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 101033328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294400).

101033328 is an abundant number, since it is smaller than the sum of its proper divisors (185555472).

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

101033328 is a wasteful number, since it uses less digits than its factorization.

101033328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 101033328 is about 10051.5336143297. The cubic root of 101033328 is about 465.7521691778.

Adding to 101033328 its reverse (823330101), we get a palindrome (924363429).

It can be divided in two parts, 10103 and 3328, that added together give a palindrome (13431).

The spelling of 101033328 in words is "one hundred one million, thirty-three thousand, three hundred twenty-eight".