106721544294544 has 45 divisors (see below), whose sum is σ = 214151365527307. Its totient is φ = 51520167007232.

The previous prime is 106721544294517. The next prime is 106721544294551. The reversal of 106721544294544 is 445492445127601.

The square root of 106721544294544 is 10330612.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20337754867600 + 86383789426944 = 4509740^2 + 9294288^2 .

It is a super-2 number, since 2×106721544294544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 8 ways as a sum of consecutive naturals, for example, 1198306464 + ... + 1198395520.

Almost surely, 2^{106721544294544} is an apocalyptic number.

106721544294544 is the 10330612-nd square number.

It is an amenable number.

106721544294544 is an abundant number, since it is smaller than the sum of its proper divisors (107429821232763).

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

106721544294544 is an frugal number, since it uses more digits than its factorization.

106721544294544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178180 (or 89088 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 106721544294544 in words is "one hundred six trillion, seven hundred twenty-one billion, five hundred forty-four million, two hundred ninety-four thousand, five hundred forty-four".