106667176227471 has 128 divisors (see below), whose sum is σ = 171125324697600. Its totient is φ = 65456831306880.

The previous prime is 106667176227461. The next prime is 106667176227503. The reversal of 106667176227471 is 174722671766601.

It is a happy number.

It is not a de Polignac number, because 106667176227471 - 2²² = 106667172033167 is a prime.

It is a super-3 number, since 3×106667176227471³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106667176227399 and 106667176227408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667176227461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12250733700 + ... + 12250742406.

It is an arithmetic number, because the mean of its divisors is an integer number (1336916599200).

Almost surely, 2^{106667176227471} is an apocalyptic number.

106667176227471 is a deficient number, since it is larger than the sum of its proper divisors (64458148470129).

106667176227471 is a wasteful number, since it uses less digits than its factorization.

106667176227471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13106 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 106667176227471 in words is "one hundred six trillion, six hundred sixty-seven billion, one hundred seventy-six million, two hundred twenty-seven thousand, four hundred seventy-one".