105145844644 has 27 divisors (see below), whose sum is σ = 185168998497. Its totient is φ = 52242499344.

The previous prime is 105145844641. The next prime is 105145844653. The reversal of 105145844644 is 446448541501.

The square root of 105145844644 is 324262.

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

It can be written as a sum of positive squares in only one way, i.e., 103021740900 + 2124103744 = 320970^2 + 46088^2 .

It is a super-2 number, since 2×105145844644² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105145844594 and 105145844603.

It is not an unprimeable number, because it can be changed into a prime (105145844641) 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, 127758817 + ... + 127759639.

Almost surely, 2^105145844644 is an apocalyptic number.

105145844644 is the 324262-nd square number.

It is an amenable number.

105145844644 is a deficient number, since it is larger than the sum of its proper divisors (80023153853).

105145844644 is an frugal number, since it uses more digits than its factorization.

105145844644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 105145844644 in words is "one hundred five billion, one hundred forty-five million, eight hundred forty-four thousand, six hundred forty-four".