105703297056 has 1008 divisors, whose sum is σ = 396892258560. Its totient is φ = 27512110080.

The previous prime is 105703297031. The next prime is 105703297093. The reversal of 105703297056 is 650792307501.

105703297056 is a `hidden beast` number, since 1 + 0 + 570 + 3 + 2 + 9 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×105703297056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 673269330 + ... + 673269486.

It is an arithmetic number, because the mean of its divisors is an integer number (393742320).

Almost surely, 2^105703297056 is an apocalyptic number.

105703297056 is a gapful number since it is divisible by the number (16) 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 105703297056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198446129280).

105703297056 is an abundant number, since it is smaller than the sum of its proper divisors (291188961504).

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

105703297056 is a wasteful number, since it uses less digits than its factorization.

105703297056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 105703297056 in words is "one hundred five billion, seven hundred three million, two hundred ninety-seven thousand, fifty-six".