10705682978116 has 81 divisors (see below), whose sum is σ = 22573934208189. Its totient is φ = 4429388095776.

The previous prime is 10705682978071. The next prime is 10705682978167. The reversal of 10705682978116 is 61187928650701.

The square root of 10705682978116 is 3271954.

It is a perfect power (a square), and thus also a powerful number.

10705682978116 is digitally balanced in base 2, 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 only one way, i.e., 5613800467716 + 5091882510400 = 2369346^2 + 2256520^2 .

It is a super-2 number, since 2×10705682978116² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1328409295 + ... + 1328417353.

Almost surely, 2^{10705682978116} is an apocalyptic number.

10705682978116 is the 3271954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10705682978116

10705682978116 is an abundant number, since it is smaller than the sum of its proper divisors (11868251230073).

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

10705682978116 is an frugal number, since it uses more digits than its factorization.

10705682978116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16194 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 61.

The spelling of 10705682978116 in words is "ten trillion, seven hundred five billion, six hundred eighty-two million, nine hundred seventy-eight thousand, one hundred sixteen".