10379738161 has 27 divisors (see below), whose sum is σ = 11965597923. Its totient is φ = 8998129920.

The previous prime is 10379738129. The next prime is 10379738167. The reversal of 10379738161 is 16183797301.

The square root of 10379738161 is 101881.

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

10379738161 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 13 ways, for example, as 7935424561 + 2444313600 = 89081^2 + 49440^2 .

It is not a de Polignac number, because 10379738161 - 2⁵ = 10379738129 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10379738167) 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 26 ways as a sum of consecutive naturals, for example, 22515471 + ... + 22515931.

Almost surely, 2^10379738161 is an apocalyptic number.

10379738161 is the 101881-st square number.

10379738161 is the 50941-st centered octagonal number.

It is an amenable number.

10379738161 is a deficient number, since it is larger than the sum of its proper divisors (1585859762).

10379738161 is an frugal number, since it uses more digits than its factorization.

10379738161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 10379738161 in words is "ten billion, three hundred seventy-nine million, seven hundred thirty-eight thousand, one hundred sixty-one".