106727360512 has 96 divisors (see below), whose sum is σ = 215548482240. Its totient is φ = 52829798400.

The previous prime is 106727360471. The next prime is 106727360539. The reversal of 106727360512 is 215063727601.

It is a super-2 number, since 2×106727360512² (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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174106318 + ... + 174106930.

It is an arithmetic number, because the mean of its divisors is an integer number (2245296690).

Almost surely, 2^106727360512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106727360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107774241120).

106727360512 is an abundant number, since it is smaller than the sum of its proper divisors (108821121728).

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

106727360512 is an equidigital number, since it uses as much as digits as its factorization.

106727360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 106727360512 in words is "one hundred six billion, seven hundred twenty-seven million, three hundred sixty thousand, five hundred twelve".