106281216064 has 21 divisors (see below), whose sum is σ = 210906963631. Its totient is φ = 53139304000.

The previous prime is 106281216053. The next prime is 106281216077. The reversal of 106281216064 is 460612182601.

The square root of 106281216064 is 326008.

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

It is a super-2 number, since 2×106281216064² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 2587689 + ... + 2628439.

Almost surely, 2^106281216064 is an apocalyptic number.

106281216064 is the 326008-th square number.

It is an amenable number.

106281216064 is a deficient number, since it is larger than the sum of its proper divisors (104625747567).

106281216064 is an frugal number, since it uses more digits than its factorization.

106281216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81514 (or 40753 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 106281216064 its reverse (460612182601), we get a palindrome (566893398665).

The spelling of 106281216064 in words is "one hundred six billion, two hundred eighty-one million, two hundred sixteen thousand, sixty-four".