66606110150100 has 72 divisors (see below), whose sum is σ = 193409396193888. Its totient is φ = 17697507945600.

The previous prime is 66606110150087. The next prime is 66606110150113. The reversal of 66606110150100 is 105101160666.

66606110150100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66606110150087) and next prime (66606110150113).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 400675686 + ... + 400841885.

It is an arithmetic number, because the mean of its divisors is an integer number (2686241613804).

Almost surely, 2^{66606110150100} is an apocalyptic number.

66606110150100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66606110150100 is an abundant number, since it is smaller than the sum of its proper divisors (126803286043788).

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

66606110150100 is a wasteful number, since it uses less digits than its factorization.

66606110150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801517865 (or 801517858 counting only the distinct ones).

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

The spelling of 66606110150100 in words is "sixty-six trillion, six hundred six billion, one hundred ten million, one hundred fifty thousand, one hundred".