106816541584 has 15 divisors (see below), whose sum is σ = 206959582267. Its totient is φ = 53407617136.

The previous prime is 106816541581. The next prime is 106816541593. The reversal of 106816541584 is 485145618601.

The square root of 106816541584 is 326828.

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

It is a super-2 number, since 2×106816541584² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106816541581) 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 2 ways as a sum of consecutive naturals, for example, 1266459 + ... + 1348165.

Almost surely, 2^106816541584 is an apocalyptic number.

106816541584 is the 326828-th square number.

It is an amenable number.

106816541584 is a deficient number, since it is larger than the sum of its proper divisors (100143040683).

106816541584 is an frugal number, since it uses more digits than its factorization.

106816541584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163422 (or 81709 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 106816541584 by its sum of digits (49), we get a square (5234010537616 = 2287796²).

The spelling of 106816541584 in words is "one hundred six billion, eight hundred sixteen million, five hundred forty-one thousand, five hundred eighty-four".