100932128 has 96 divisors (see below), whose sum is σ = 233186688. Its totient is φ = 42496000.

The previous prime is 100932113. The next prime is 100932131. The reversal of 100932128 is 821239001.

It is a junction number, because it is equal to n+sod(n) for n = 100932097 and 100932106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604301 + ... + 604467.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 2^100932128 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 100932128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593344).

100932128 is an abundant number, since it is smaller than the sum of its proper divisors (132254560).

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

100932128 is a wasteful number, since it uses less digits than its factorization.

100932128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 100932128 is about 10046.4982954261. The cubic root of 100932128 is about 465.5966103917.

It can be divided in two parts, 10093 and 2128, that added together give a palindrome (12221).

The spelling of 100932128 in words is "one hundred million, nine hundred thirty-two thousand, one hundred twenty-eight".