100467097728 has 64 divisors (see below), whose sum is σ = 272543771520. Its totient is φ = 32776494080.

The previous prime is 100467097721. The next prime is 100467097729. The reversal of 100467097728 is 827790764001.

100467097728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100467097721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2765283 + ... + 2801378.

It is an arithmetic number, because the mean of its divisors is an integer number (4258496430).

Almost surely, 2^100467097728 is an apocalyptic number.

It is an amenable number.

100467097728 is an abundant number, since it is smaller than the sum of its proper divisors (172076673792).

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

100467097728 is an equidigital number, since it uses as much as digits as its factorization.

100467097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566725 (or 5566713 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 100467097728 in words is "one hundred billion, four hundred sixty-seven million, ninety-seven thousand, seven hundred twenty-eight".