106005500505114 has 32 divisors (see below), whose sum is σ = 242804128849920. Its totient is φ = 30224055610992.

The previous prime is 106005500505083. The next prime is 106005500505119. The reversal of 106005500505114 is 411505005500601.

It is a super-4 number, since 4×106005500505114⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106005500505119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634573294 + ... + 2634613529.

It is an arithmetic number, because the mean of its divisors is an integer number (7587629026560).

Almost surely, 2^{106005500505114} is an apocalyptic number.

106005500505114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106005500505114 is an abundant number, since it is smaller than the sum of its proper divisors (136798628344806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106005500505114 is a wasteful number, since it uses less digits than its factorization.

106005500505114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269187314.

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 106005500505114 in words is "one hundred six trillion, five billion, five hundred million, five hundred five thousand, one hundred fourteen".