100105500105018 has 48 divisors (see below), whose sum is σ = 216987633943080. Its totient is φ = 33354288304128.

The previous prime is 100105500105011. The next prime is 100105500105029. The reversal of 100105500105018 is 810501005501001.

100105500105018 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 550 + 0 + 105 + 0 + 1 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52043628372129 + 48061871732889 = 7214127^2 + 6932667^2 .

It is a super-2 number, since 2×100105500105018² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100105500104982 and 100105500105000.

It is not an unprimeable number, because it can be changed into a prime (100105500105011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890290196 + ... + 1890343152.

Almost surely, 2^{100105500105018} is an apocalyptic number.

100105500105018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100105500105018 is an abundant number, since it is smaller than the sum of its proper divisors (116882133838062).

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

100105500105018 is a wasteful number, since it uses less digits than its factorization.

100105500105018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95711 (or 95708 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 100105500105018 its reverse (810501005501001), we get a palindrome (910606505606019).

The spelling of 100105500105018 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred five thousand, eighteen".