105487276416 has 64 divisors (see below), whose sum is σ = 280270540800. Its totient is φ = 35153646080.

The previous prime is 105487276399. The next prime is 105487276417. The reversal of 105487276416 is 614672784501.

105487276416 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 (64).

It is a super-2 number, since 2×105487276416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105487276417) by changing a digit.

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, 1607905 + ... + 1672223.

It is an arithmetic number, because the mean of its divisors is an integer number (4379227200).

Almost surely, 2^105487276416 is an apocalyptic number.

105487276416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105487276416 is an abundant number, since it is smaller than the sum of its proper divisors (174783264384).

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

105487276416 is an equidigital number, since it uses as much as digits as its factorization.

105487276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68607 (or 68595 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 105487276416 in words is "one hundred five billion, four hundred eighty-seven million, two hundred seventy-six thousand, four hundred sixteen".