100164460500 has 144 divisors (see below), whose sum is σ = 340292259216. Its totient is φ = 24655852800.

The previous prime is 100164460463. The next prime is 100164460523. The reversal of 100164460500 is 5064461001.

100164460500 is a `hidden beast` number, since 1 + 0 + 0 + 16 + 44 + 605 + 0 + 0 = 666.

100164460500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 83674818756 + 16489641744 = 289266^2 + 128412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797607 + ... + 914606.

It is an arithmetic number, because the mean of its divisors is an integer number (2363140689).

Almost surely, 2^100164460500 is an apocalyptic number.

100164460500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100164460500 is an abundant number, since it is smaller than the sum of its proper divisors (240127798716).

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

100164460500 is a wasteful number, since it uses less digits than its factorization.

100164460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712251 (or 1712236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100164460500 in words is "one hundred billion, one hundred sixty-four million, four hundred sixty thousand, five hundred".