10106466990489 has 27 divisors (see below), whose sum is σ = 15119389288029. Its totient is φ = 6505134058080.

The previous prime is 10106466990481. The next prime is 10106466990517. The reversal of 10106466990489 is 98409966460101.

The square root of 10106466990489 is 3179067.

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

10106466990489 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 4 + 6 + 69 + 90 + 489 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3124823392089 + 6981643598400 = 1767717^2 + 2642280^2 .

It is not a de Polignac number, because 10106466990489 - 2³ = 10106466990481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10106466990481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276560559 + ... + 276597099.

Almost surely, 2^{10106466990489} is an apocalyptic number.

10106466990489 is the 3179067-th square number.

10106466990489 is the 1589534-th centered octagonal number.

It is an amenable number.

10106466990489 is a deficient number, since it is larger than the sum of its proper divisors (5012922297540).

10106466990489 is an frugal number, since it uses more digits than its factorization.

10106466990489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73146 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10106466990489 in words is "ten trillion, one hundred six billion, four hundred sixty-six million, nine hundred ninety thousand, four hundred eighty-nine".