10124183161 has 9 divisors (see below), whose sum is σ = 10190927343. Its totient is φ = 10057875240.

The previous prime is 10124183149. The next prime is 10124183189. The reversal of 10124183161 is 16138142101.

The square root of 10124183161 is 100619.

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

10124183161 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 only one way, i.e., 48038761 + 10076144400 = 6931^2 + 100380^2 .

It is not a de Polignac number, because 10124183161 - 2¹³ = 10124174969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10124183761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24047731 + ... + 24048151.

Almost surely, 2^10124183161 is an apocalyptic number.

10124183161 is the 100619-th square number.

10124183161 is the 50310-th centered octagonal number.

It is an amenable number.

10124183161 is a deficient number, since it is larger than the sum of its proper divisors (66744182).

10124183161 is an frugal number, since it uses more digits than its factorization.

10124183161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10124183161 in words is "ten billion, one hundred twenty-four million, one hundred eighty-three thousand, one hundred sixty-one".