100105500502308 has 96 divisors (see below), whose sum is σ = 268554340454400. Its totient is φ = 28429747632000.

The previous prime is 100105500502261. The next prime is 100105500502327. The reversal of 100105500502308 is 803205005501001.

It is a super-2 number, since 2×100105500502308² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13977433 + ... + 19889183.

It is an arithmetic number, because the mean of its divisors is an integer number (2797441046400).

Almost surely, 2^{100105500502308} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105500502308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277170227200).

100105500502308 is an abundant number, since it is smaller than the sum of its proper divisors (168448839952092).

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

100105500502308 is a wasteful number, since it uses less digits than its factorization.

100105500502308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912977 (or 5912975 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 100105500502308 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred two thousand, three hundred eight".