105144644 has 18 divisors (see below), whose sum is σ = 202252302. Its totient is φ = 47792800.

The previous prime is 105144577. The next prime is 105144647. The reversal of 105144644 is 446441501.

It can be written as a sum of positive squares in only one way, i.e., 85784644 + 19360000 = 9262^2 + 4400^2 .

It is a super-2 number, since 2×105144644² = 22110792323773472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105144647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108137 + ... + 109104.

It is an arithmetic number, because the mean of its divisors is an integer number (11236239).

Almost surely, 2^105144644 is an apocalyptic number.

It is an amenable number.

105144644 is a deficient number, since it is larger than the sum of its proper divisors (97107658).

105144644 is a wasteful number, since it uses less digits than its factorization.

105144644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217267 (or 217254 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 105144644 is about 10254.0062414648. The cubic root of 105144644 is about 471.9859291506.

The spelling of 105144644 in words is "one hundred five million, one hundred forty-four thousand, six hundred forty-four".