109205133444 has 135 divisors (see below), whose sum is σ = 313984359381. Its totient is φ = 33072636960.

The previous prime is 109205133431. The next prime is 109205133449. The reversal of 109205133444 is 444331502901.

The square root of 109205133444 is 330462.

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

109205133444 is a `hidden beast` number, since 1 + 0 + 9 + 205 + 1 + 3 + 3 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58255615044 + 50949518400 = 241362^2 + 225720^2 .

It is a super-2 number, since 2×109205133444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109205133399 and 109205133408.

It is not an unprimeable number, because it can be changed into a prime (109205133449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65430642 + ... + 65432310.

Almost surely, 2^109205133444 is an apocalyptic number.

109205133444 is the 330462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109205133444

109205133444 is an abundant number, since it is smaller than the sum of its proper divisors (204779225937).

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

109205133444 is an equidigital number, since it uses as much as digits as its factorization.

109205133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 109205133444 by its sum of digits (36), we get a square (3931384803984 = 1982772²).

109205133444 divided by its sum of digits (36) gives a square (3033475929 = 55077²).

The spelling of 109205133444 in words is "one hundred nine billion, two hundred five million, one hundred thirty-three thousand, four hundred forty-four".