101009328 has 40 divisors (see below), whose sum is σ = 298219008. Its totient is φ = 28859712.

The previous prime is 101009327. The next prime is 101009333. The reversal of 101009328 is 823900101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101009298 and 101009307.

It is not an unprimeable number, because it can be changed into a prime (101009327) 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, 149976 + ... + 150647.

Almost surely, 2^101009328 is an apocalyptic number.

It is an amenable number.

101009328 is an abundant number, since it is smaller than the sum of its proper divisors (197209680).

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

101009328 is a wasteful number, since it uses less digits than its factorization.

101009328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300641 (or 300635 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101009328 is about 10050.3396957516. The cubic root of 101009328 is about 465.7152871657.

Adding to 101009328 its reverse (823900101), we get a palindrome (924909429).

The spelling of 101009328 in words is "one hundred one million, nine thousand, three hundred twenty-eight".