100005501105 has 24 divisors (see below), whose sum is σ = 174099842280. Its totient is φ = 53103352320.

The previous prime is 100005501067. The next prime is 100005501121. The reversal of 100005501105 is 501105500001.

100005501105 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 550 + 110 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26798999616 + 73206501489 = 163704^2 + 270567^2 .

It is not a de Polignac number, because 100005501105 - 2⁸ = 100005500849 is a prime.

It is a super-2 number, since 2×100005501105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4841976 + ... + 4862585.

It is an arithmetic number, because the mean of its divisors is an integer number (7254160095).

Almost surely, 2^100005501105 is an apocalyptic number.

100005501105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005501105 is a deficient number, since it is larger than the sum of its proper divisors (74094341175).

100005501105 is a wasteful number, since it uses less digits than its factorization.

100005501105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704801 (or 9704798 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 100005501105 in words is "one hundred billion, five million, five hundred one thousand, one hundred five".