106855764544 has 63 divisors (see below), whose sum is σ = 219761798347. Its totient is φ = 51548930048.

The previous prime is 106855764493. The next prime is 106855764551. The reversal of 106855764544 is 445467558601.

The square root of 106855764544 is 326888.

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 38922554944 + 67933209600 = 197288^2 + 260640^2 .

It is a super-2 number, since 2×106855764544² (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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75837312 + ... + 75838720.

Almost surely, 2^106855764544 is an apocalyptic number.

106855764544 is the 326888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106855764544

106855764544 is an abundant number, since it is smaller than the sum of its proper divisors (112906033803).

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

106855764544 is an frugal number, since it uses more digits than its factorization.

106855764544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 55.

The spelling of 106855764544 in words is "one hundred six billion, eight hundred fifty-five million, seven hundred sixty-four thousand, five hundred forty-four".