106006088289 has 16 divisors (see below), whose sum is σ = 145074124800. Its totient is φ = 68819501520.

The previous prime is 106006088273. The next prime is 106006088291. The reversal of 106006088289 is 982880600601.

It is not a de Polignac number, because 106006088289 - 2⁴ = 106006088273 is a prime.

It is a super-2 number, since 2×106006088289² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006088689) 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 15 ways as a sum of consecutive naturals, for example, 1860927 + ... + 1917044.

It is an arithmetic number, because the mean of its divisors is an integer number (9067132800).

Almost surely, 2^106006088289 is an apocalyptic number.

It is an amenable number.

106006088289 is a deficient number, since it is larger than the sum of its proper divisors (39068036511).

106006088289 is a wasteful number, since it uses less digits than its factorization.

106006088289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778220.

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 106006088289 in words is "one hundred six billion, six million, eighty-eight thousand, two hundred eighty-nine".