100105655055 has 32 divisors (see below), whose sum is σ = 191009055744. Its totient is φ = 43772906496.

The previous prime is 100105655047. The next prime is 100105655057. The reversal of 100105655055 is 550556501001.

It is not a de Polignac number, because 100105655055 - 2³ = 100105655047 is a prime.

It is a super-2 number, since 2×100105655055² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105655057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20723394 + ... + 20728223.

It is an arithmetic number, because the mean of its divisors is an integer number (5969032992).

Almost surely, 2^100105655055 is an apocalyptic number.

100105655055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100105655055 is a deficient number, since it is larger than the sum of its proper divisors (90903400689).

100105655055 is a wasteful number, since it uses less digits than its factorization.

100105655055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41451655.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 100105655055 in words is "one hundred billion, one hundred five million, six hundred fifty-five thousand, fifty-five".