100806328 has 64 divisors (see below), whose sum is σ = 233496000. Its totient is φ = 40642560.

The previous prime is 100806323. The next prime is 100806341. The reversal of 100806328 is 823608001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 100806296 and 100806305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100806323) 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 15 ways as a sum of consecutive naturals, for example, 45568 + ... + 47728.

It is an arithmetic number, because the mean of its divisors is an integer number (3648375).

Almost surely, 2^100806328 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 100806328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116748000).

100806328 is an abundant number, since it is smaller than the sum of its proper divisors (132689672).

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

100806328 is a wasteful number, since it uses less digits than its factorization.

100806328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 100806328 is about 10040.2354554064. The cubic root of 100806328 is about 465.4030928732.

The spelling of 100806328 in words is "one hundred million, eight hundred six thousand, three hundred twenty-eight".