100816128 has 324 divisors, whose sum is σ = 363504960. Its totient is φ = 26707968.

The previous prime is 100816127. The next prime is 100816141. The reversal of 100816128 is 821618001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100816127) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2145001 + ... + 2145047.

Almost surely, 2^100816128 is an apocalyptic number.

100816128 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 100816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

100816128 is an abundant number, since it is smaller than the sum of its proper divisors (262688832).

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

100816128 is a wasteful number, since it uses less digits than its factorization.

100816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 100816128 is about 10040.7234799092. The cubic root of 100816128 is about 465.4181739453.

It can be divided in two parts, 1008 and 16128, that multiplied together give a square (16257024 = 4032²).

The spelling of 100816128 in words is "one hundred million, eight hundred sixteen thousand, one hundred twenty-eight".