105065861544 has 144 divisors (see below), whose sum is σ = 331170402420. Its totient is φ = 30004369920.

The previous prime is 105065861531. The next prime is 105065861599. The reversal of 105065861544 is 445168560501.

105065861544 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 58 + 6 + 1 + 544 = 666.

105065861544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86559524100 + 18506337444 = 294210^2 + 136038^2 .

It is a super-2 number, since 2×105065861544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105065861544.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8888182 + ... + 8899994.

Almost surely, 2^105065861544 is an apocalyptic number.

105065861544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105065861544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165585201210).

105065861544 is an abundant number, since it is smaller than the sum of its proper divisors (226104540876).

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

105065861544 is a wasteful number, since it uses less digits than its factorization.

105065861544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14360 (or 14346 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105065861544 in words is "one hundred five billion, sixty-five million, eight hundred sixty-one thousand, five hundred forty-four".