100067328 has 144 divisors (see below), whose sum is σ = 297051300. Its totient is φ = 32440320.

The previous prime is 100067327. The next prime is 100067333. The reversal of 100067328 is 823760001.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 20358144 = 8928^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (100067327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124308 + ... + 1124396.

Almost surely, 2^100067328 is an apocalyptic number.

100067328 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 100067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148525650).

100067328 is an abundant number, since it is smaller than the sum of its proper divisors (196983972).

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

100067328 is an equidigital number, since it uses as much as digits as its factorization.

100067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100067328 is about 10003.3658335582. The cubic root of 100067328 is about 464.2630296226.

The spelling of 100067328 in words is "one hundred million, sixty-seven thousand, three hundred twenty-eight".