100105500505518 has 128 divisors (see below), whose sum is σ = 238605661094400. Its totient is φ = 31012875129600.

The previous prime is 100105500505501. The next prime is 100105500505643. The reversal of 100105500505518 is 815505005501001.

It is a happy number.

100105500505518 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 50 + 0 + 50 + 551 + 8 = 666.

It is a super-2 number, since 2×100105500505518² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 615532033 + ... + 615694643.

It is an arithmetic number, because the mean of its divisors is an integer number (1864106727300).

Almost surely, 2^{100105500505518} is an apocalyptic number.

100105500505518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105500505518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119302830547200).

100105500505518 is an abundant number, since it is smaller than the sum of its proper divisors (138500160588882).

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

100105500505518 is a wasteful number, since it uses less digits than its factorization.

100105500505518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174015 (or 174009 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 36.

The spelling of 100105500505518 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, five hundred eighteen".