105340644 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 31342080.

The previous prime is 105340643. The next prime is 105340649. The reversal of 105340644 is 446043501.

105340644 is a `hidden beast` number, since 10 + 5 + 3 + 4 + 0 + 644 = 666.

It is a super-2 number, since 2×105340644² = 22193302556669472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105340643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984439 + ... + 984545.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^105340644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105340644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

105340644 is an abundant number, since it is smaller than the sum of its proper divisors (191858076).

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

105340644 is a wasteful number, since it uses less digits than its factorization.

105340644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105340644 is about 10263.5590318369. The cubic root of 105340644 is about 472.2790232349.

The spelling of 105340644 in words is "one hundred five million, three hundred forty thousand, six hundred forty-four".