105416021744 has 40 divisors (see below), whose sum is σ = 226463801520. Its totient is φ = 47130854400.

The previous prime is 105416021743. The next prime is 105416021759. The reversal of 105416021744 is 447120614501.

105416021744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105416021744² (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 (105416021741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4898729 + ... + 4920200.

It is an arithmetic number, because the mean of its divisors is an integer number (5661595038).

Almost surely, 2^105416021744 is an apocalyptic number.

It is an amenable number.

105416021744 is an abundant number, since it is smaller than the sum of its proper divisors (121047779776).

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

105416021744 is a wasteful number, since it uses less digits than its factorization.

105416021744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819009 (or 9819003 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 105416021744 in words is "one hundred five billion, four hundred sixteen million, twenty-one thousand, seven hundred forty-four".