103766448384 has 135 divisors (see below), whose sum is σ = 309551151217. Its totient is φ = 34573353984.

The previous prime is 103766448367. The next prime is 103766448389. The reversal of 103766448384 is 483844667301.

The square root of 103766448384 is 322128.

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

103766448384 is a `hidden beast` number, since 10 + 3 + 76 + 6 + 4 + 483 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82529798400 + 21236649984 = 287280^2 + 145728^2 .

It is a super-2 number, since 2×103766448384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103766448384.

It is not an unprimeable number, because it can be changed into a prime (103766448389) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46385314 + ... + 46387550.

Almost surely, 2^103766448384 is an apocalyptic number.

103766448384 is the 322128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103766448384

103766448384 is an abundant number, since it is smaller than the sum of its proper divisors (205784702833).

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

103766448384 is an frugal number, since it uses more digits than its factorization.

103766448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 103766448384 in words is "one hundred three billion, seven hundred sixty-six million, four hundred forty-eight thousand, three hundred eighty-four".