106727578176 has 112 divisors (see below), whose sum is σ = 286995559104. Its totient is φ = 34996279296.

The previous prime is 106727578159. The next prime is 106727578219. The reversal of 106727578176 is 671875727601.

It is a super-2 number, since 2×106727578176² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9938506 + ... + 9949238.

Almost surely, 2^106727578176 is an apocalyptic number.

106727578176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106727578176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143497779552).

106727578176 is an abundant number, since it is smaller than the sum of its proper divisors (180267980928).

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

106727578176 is a wasteful number, since it uses less digits than its factorization.

106727578176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 57.

The spelling of 106727578176 in words is "one hundred six billion, seven hundred twenty-seven million, five hundred seventy-eight thousand, one hundred seventy-six".