100505005550118 has 192 divisors, whose sum is σ = 237460415512320. Its totient is φ = 30537797216256.

The previous prime is 100505005550107. The next prime is 100505005550171. The reversal of 100505005550118 is 811055500505001.

It is a happy number.

100505005550118 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 50 + 0 + 5 + 550 + 1 + 1 + 8 = 666.

It is a super-2 number, since 2×100505005550118² (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 95 ways as a sum of consecutive naturals, for example, 22250386396 + ... + 22250390912.

It is an arithmetic number, because the mean of its divisors is an integer number (1236772997460).

Almost surely, 2^{100505005550118} is an apocalyptic number.

100505005550118 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 100505005550118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118730207756160).

100505005550118 is an abundant number, since it is smaller than the sum of its proper divisors (136955409962202).

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

100505005550118 is a wasteful number, since it uses less digits than its factorization.

100505005550118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7388 counting only the distinct ones).

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

The spelling of 100505005550118 in words is "one hundred trillion, five hundred five billion, five million, five hundred fifty thousand, one hundred eighteen".