100105605005055 has 16 divisors (see below), whose sum is σ = 172489657855200. Its totient is φ = 49282759387008.

The previous prime is 100105605005051. The next prime is 100105605005059. The reversal of 100105605005055 is 550500506501001.

It is an interprime number because it is at equal distance from previous prime (100105605005051) and next prime (100105605005059).

It is not a de Polignac number, because 100105605005055 - 2² = 100105605005051 is a prime.

It is a super-2 number, since 2×100105605005055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105605005051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256681038280 + ... + 256681038669.

It is an arithmetic number, because the mean of its divisors is an integer number (10780603615950).

Almost surely, 2^{100105605005055} is an apocalyptic number.

100105605005055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100105605005055 is a deficient number, since it is larger than the sum of its proper divisors (72384052850145).

100105605005055 is a wasteful number, since it uses less digits than its factorization.

100105605005055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513362076970.

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

The spelling of 100105605005055 in words is "one hundred trillion, one hundred five billion, six hundred five million, five thousand, fifty-five".