105725444 has 36 divisors (see below), whose sum is σ = 206760204. Its totient is φ = 47256000.

The previous prime is 105725437. The next prime is 105725447. The reversal of 105725444 is 444527501.

It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 60996100 = 6688^2 + 7810^2 .

It is a super-2 number, since 2×105725444² = 22355739017994272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105725444.

It is not an unprimeable number, because it can be changed into a prime (105725447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27734 + ... + 31314.

It is an arithmetic number, because the mean of its divisors is an integer number (5743339).

Almost surely, 2^105725444 is an apocalyptic number.

It is an amenable number.

105725444 is a deficient number, since it is larger than the sum of its proper divisors (101034760).

105725444 is a wasteful number, since it uses less digits than its factorization.

105725444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 105725444 is about 10282.2878777050. The cubic root of 105725444 is about 472.8533888499.

The spelling of 105725444 in words is "one hundred five million, seven hundred twenty-five thousand, four hundred forty-four".