100438128 has 120 divisors (see below), whose sum is σ = 330047328. Its totient is φ = 27910656.

The previous prime is 100438099. The next prime is 100438133. The reversal of 100438128 is 821834001.

100438128 is a `hidden beast` number, since 100 + 438 + 128 = 666.

It is a super-2 number, since 2×100438128² = 20175635112288768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35950 + ... + 38642.

Almost surely, 2^100438128 is an apocalyptic number.

100438128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100438128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165023664).

100438128 is an abundant number, since it is smaller than the sum of its proper divisors (229609200).

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

100438128 is a wasteful number, since it uses less digits than its factorization.

100438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100438128 is about 10021.8824579018. The cubic root of 100438128 is about 464.8357657953.

The spelling of 100438128 in words is "one hundred million, four hundred thirty-eight thousand, one hundred twenty-eight".