106727622175020 has 192 divisors, whose sum is σ = 394492687174656. Its totient is φ = 20872628920320.

The previous prime is 106727622175007. The next prime is 106727622175051. The reversal of 106727622175020 is 20571226727601.

It is a happy number.

It is a super-3 number, since 3×106727622175020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679369017 + ... + 679526096.

It is an arithmetic number, because the mean of its divisors is an integer number (2054649412368).

Almost surely, 2^{106727622175020} is an apocalyptic number.

106727622175020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106727622175020 is an abundant number, since it is smaller than the sum of its proper divisors (287765064999636).

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

106727622175020 is a wasteful number, since it uses less digits than its factorization.

106727622175020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358895160 (or 1358895158 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 106727622175020 in words is "one hundred six trillion, seven hundred twenty-seven billion, six hundred twenty-two million, one hundred seventy-five thousand, twenty".