100105001000055 has 24 divisors (see below), whose sum is σ = 173907017573328. Its totient is φ = 53268816172416.

The previous prime is 100105001000029. The next prime is 100105001000077. The reversal of 100105001000055 is 550000100501001.

100105001000055 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 500 + 100 + 0 + 0 + 55 = 666.

It is not a de Polignac number, because 100105001000055 - 2⁹ = 100105000999543 is a prime.

It is a super-2 number, since 2×100105001000055² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2510765142 + ... + 2510805011.

It is an arithmetic number, because the mean of its divisors is an integer number (7246125732222).

Almost surely, 2^{100105001000055} is an apocalyptic number.

100105001000055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100105001000055 is a deficient number, since it is larger than the sum of its proper divisors (73802016573273).

100105001000055 is a wasteful number, since it uses less digits than its factorization.

100105001000055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021570607 (or 5021570604 counting only the distinct ones).

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

Adding to 100105001000055 its reverse (550000100501001), we get a palindrome (650105101501056).

The spelling of 100105001000055 in words is "one hundred trillion, one hundred five billion, one million, fifty-five", and thus it is an aban number.