106583966784 has 189 divisors, whose sum is σ = 311993100549. Its totient is φ = 34788856320.

The previous prime is 106583966767. The next prime is 106583966789. The reversal of 106583966784 is 487669385601.

The square root of 106583966784 is 326472.

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

106583966784 is a `hidden beast` number, since 106 + 5 + 8 + 396 + 67 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3465912384 + 103118054400 = 58872^2 + 321120^2 .

It is a super-2 number, since 2×106583966784² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106583966789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 477954897 + ... + 477955119.

Almost surely, 2^106583966784 is an apocalyptic number.

106583966784 is the 326472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106583966784

106583966784 is an abundant number, since it is smaller than the sum of its proper divisors (205409133765).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106583966784 is an frugal number, since it uses more digits than its factorization.

106583966784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 106583966784 in words is "one hundred six billion, five hundred eighty-three million, nine hundred sixty-six thousand, seven hundred eighty-four".