105527940720 has 80 divisors (see below), whose sum is σ = 337689434112. Its totient is φ = 27233015040.

The previous prime is 105527940719. The next prime is 105527940731. The reversal of 105527940720 is 27049725501.

105527940720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105527940720² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7084492 + ... + 7099371.

Almost surely, 2^105527940720 is an apocalyptic number.

105527940720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105527940720 is an abundant number, since it is smaller than the sum of its proper divisors (232161493392).

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

105527940720 is a wasteful number, since it uses less digits than its factorization.

105527940720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14183910 (or 14183904 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 105527940720 in words is "one hundred five billion, five hundred twenty-seven million, nine hundred forty thousand, seven hundred twenty".