100105500505106 has 16 divisors (see below), whose sum is σ = 150638403456000. Its totient is φ = 49892852295888.

The previous prime is 100105500505099. The next prime is 100105500505139. The reversal of 100105500505106 is 601505005501001.

It is a happy number.

It is a super-2 number, since 2×100105500505106² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36925556 + ... + 39543743.

It is an arithmetic number, because the mean of its divisors is an integer number (9414900216000).

Almost surely, 2^{100105500505106} is an apocalyptic number.

100105500505106 is a deficient number, since it is larger than the sum of its proper divisors (50532902950894).

100105500505106 is a wasteful number, since it uses less digits than its factorization.

100105500505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76471393.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100105500505106 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, one hundred six".