106026430689 has 27 divisors (see below), whose sum is σ = 154084813779. Its totient is φ = 70255123920.

The previous prime is 106026430681. The next prime is 106026430691. The reversal of 106026430689 is 986034620601.

The square root of 106026430689 is 325617.

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

106026430689 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 264 + 306 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77822587089 + 28203843600 = 278967^2 + 167940^2 .

It is not a de Polignac number, because 106026430689 - 2³ = 106026430681 is a prime.

It is a super-2 number, since 2×106026430689² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106026430681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303800487 + ... + 303800835.

Almost surely, 2^106026430689 is an apocalyptic number.

106026430689 is the 325617-th square number.

106026430689 is the 162809-th centered octagonal number.

It is an amenable number.

106026430689 is a deficient number, since it is larger than the sum of its proper divisors (48058383090).

106026430689 is an frugal number, since it uses more digits than its factorization.

106026430689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106026430689 in words is "one hundred six billion, twenty-six million, four hundred thirty thousand, six hundred eighty-nine".