105427218672 has 30 divisors (see below), whose sum is σ = 295049785992. Its totient is φ = 35142406176.

The previous prime is 105427218647. The next prime is 105427218707. The reversal of 105427218672 is 276812724501.

105427218672 is a `hidden beast` number, since 1 + 0 + 5 + 427 + 218 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×105427218672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 366066588 + ... + 366066875.

Almost surely, 2^105427218672 is an apocalyptic number.

105427218672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105427218672 is an abundant number, since it is smaller than the sum of its proper divisors (189622567320).

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

105427218672 is a wasteful number, since it uses less digits than its factorization.

105427218672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732133477 (or 732133468 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 105427218672 in words is "one hundred five billion, four hundred twenty-seven million, two hundred eighteen thousand, six hundred seventy-two".