10026217161 has 9 divisors (see below), whose sum is σ = 14482747591. Its totient is φ = 6683944512.

The previous prime is 10026217073. The next prime is 10026217171. The reversal of 10026217161 is 16171262001.

It is a happy number.

The square root of 10026217161 is 100131.

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

It can be written as a sum of positive squares in only one way, i.e., 7348775625 + 2677441536 = 85725^2 + 51744^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10026217161 - 2³³ = 1436282569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10026217171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283705 + ... + 317081.

Almost surely, 2^10026217161 is an apocalyptic number.

10026217161 is the 100131-st square number.

10026217161 is the 50066-th centered octagonal number.

It is an amenable number.

10026217161 is a deficient number, since it is larger than the sum of its proper divisors (4456530430).

10026217161 is an frugal number, since it uses more digits than its factorization.

10026217161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66760 (or 33380 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10026217161 its reverse (16171262001), we get a palindrome (26197479162).

The spelling of 10026217161 in words is "ten billion, twenty-six million, two hundred seventeen thousand, one hundred sixty-one".