105781345704 has 48 divisors (see below), whose sum is σ = 290117630400. Its totient is φ = 34814111904.

The previous prime is 105781345697. The next prime is 105781345711. The reversal of 105781345704 is 407543187501.

105781345704 is a `hidden beast` number, since 1 + 0 + 5 + 78 + 1 + 3 + 4 + 570 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105781345697) and next prime (105781345711).

It is a super-2 number, since 2×105781345704² (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 105781345704.

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 11 ways as a sum of consecutive naturals, for example, 9292954 + ... + 9304329.

It is an arithmetic number, because the mean of its divisors is an integer number (6044117300).

Almost surely, 2^105781345704 is an apocalyptic number.

It is an amenable number.

105781345704 is an abundant number, since it is smaller than the sum of its proper divisors (184336284696).

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

105781345704 is a wasteful number, since it uses less digits than its factorization.

105781345704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597374 (or 18597367 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 105781345704 in words is "one hundred five billion, seven hundred eighty-one million, three hundred forty-five thousand, seven hundred four".