105444377284 has 27 divisors (see below), whose sum is σ = 185598751527. Its totient is φ = 52417924128.

The previous prime is 105444377281. The next prime is 105444377317. The reversal of 105444377284 is 482773444501.

The square root of 105444377284 is 324722.

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 1244537284 + 104199840000 = 35278^2 + 322800^2 .

It is a super-2 number, since 2×105444377284² (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 (105444377281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148722322 + ... + 148723030.

Almost surely, 2^105444377284 is an apocalyptic number.

105444377284 is the 324722-nd square number.

It is an amenable number.

105444377284 is a deficient number, since it is larger than the sum of its proper divisors (80154374243).

105444377284 is an frugal number, since it uses more digits than its factorization.

105444377284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 49.

Multiplying 105444377284 by its sum of digits (49), we get a square (5166774486916 = 2273054²).

The spelling of 105444377284 in words is "one hundred five billion, four hundred forty-four million, three hundred seventy-seven thousand, two hundred eighty-four".