100506101106066 has 32 divisors (see below), whose sum is σ = 202877171640000. Its totient is φ = 33191268557760.

The previous prime is 100506101105999. The next prime is 100506101106071. The reversal of 100506101106066 is 660601101605001.

It is a super-2 number, since 2×100506101106066² (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505940 + ... + 14257631.

It is an arithmetic number, because the mean of its divisors is an integer number (6339911613750).

Almost surely, 2^{100506101106066} is an apocalyptic number.

100506101106066 is an abundant number, since it is smaller than the sum of its proper divisors (102371070533934).

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

100506101106066 is a wasteful number, since it uses less digits than its factorization.

100506101106066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773434.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 100506101106066 in words is "one hundred trillion, five hundred six billion, one hundred one million, one hundred six thousand, sixty-six".