105427680580 has 24 divisors (see below), whose sum is σ = 226108729728. Its totient is φ = 41273815008.

The previous prime is 105427680497. The next prime is 105427680581. The reversal of 105427680580 is 85086724501.

It is a super-3 number, since 3×105427680580³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105427680580.

It is not an unprimeable number, because it can be changed into a prime (105427680581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56077614 + ... + 56079493.

It is an arithmetic number, because the mean of its divisors is an integer number (9421197072).

Almost surely, 2^105427680580 is an apocalyptic number.

105427680580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105427680580 is an abundant number, since it is smaller than the sum of its proper divisors (120681049148).

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

105427680580 is a wasteful number, since it uses less digits than its factorization.

105427680580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112157163 (or 112157161 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 105427680580 in words is "one hundred five billion, four hundred twenty-seven million, six hundred eighty thousand, five hundred eighty".