100838128 has 20 divisors (see below), whose sum is σ = 197849440. Its totient is φ = 49780224.

The previous prime is 100838123. The next prime is 100838131. The reversal of 100838128 is 821838001.

It is a self number, because there is not a number n which added to its sum of digits gives 100838128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100838123) 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 3 ways as a sum of consecutive naturals, for example, 38625 + ... + 41152.

It is an arithmetic number, because the mean of its divisors is an integer number (9892472).

Almost surely, 2^100838128 is an apocalyptic number.

It is an amenable number.

100838128 is a deficient number, since it is larger than the sum of its proper divisors (97011312).

100838128 is an equidigital number, since it uses as much as digits as its factorization.

100838128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79864 (or 79858 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 100838128 is about 10041.8189587345. The cubic root of 100838128 is about 465.4520258542.

The spelling of 100838128 in words is "one hundred million, eight hundred thirty-eight thousand, one hundred twenty-eight".