100108587663168 has 112 divisors (see below), whose sum is σ = 306541064417280. Its totient is φ = 28240397213184.

The previous prime is 100108587663103. The next prime is 100108587663239. The reversal of 100108587663168 is 861366785801001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×100108587663168³ (a number of 43 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471321396 + ... + 471533747.

It is an arithmetic number, because the mean of its divisors is an integer number (2736973789440).

Almost surely, 2^{100108587663168} is an apocalyptic number.

It is an amenable number.

100108587663168 is an abundant number, since it is smaller than the sum of its proper divisors (206432476754112).

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

100108587663168 is an equidigital number, since it uses as much as digits as its factorization.

100108587663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942855244 (or 942855234 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 100108587663168 in words is "one hundred trillion, one hundred eight billion, five hundred eighty-seven million, six hundred sixty-three thousand, one hundred sixty-eight".