106466441066052 has 48 divisors (see below), whose sum is σ = 259763814051840. Its totient is φ = 33874953643168.

The previous prime is 106466441066017. The next prime is 106466441066081. The reversal of 106466441066052 is 250660144664601.

106466441066052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106466441066052² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106466441065986 and 106466441066004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402527478 + ... + 402791885.

It is an arithmetic number, because the mean of its divisors is an integer number (5411746126080).

Almost surely, 2^{106466441066052} is an apocalyptic number.

106466441066052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106466441066052 is an abundant number, since it is smaller than the sum of its proper divisors (153297372985788).

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

106466441066052 is a wasteful number, since it uses less digits than its factorization.

106466441066052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805319872 (or 805319870 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 106466441066052 in words is "one hundred six trillion, four hundred sixty-six billion, four hundred forty-one million, sixty-six thousand, fifty-two".