105644916 has 72 divisors (see below), whose sum is σ = 295410024. Its totient is φ = 31622400.

The previous prime is 105644909. The next prime is 105644923. The reversal of 105644916 is 619446501.

105644916 is a `hidden beast` number, since 1 + 0 + 5 + 644 + 9 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105644909) and next prime (105644923).

It can be written as a sum of positive squares in 4 ways, for example, as 23561316 + 82083600 = 4854^2 + 9060^2 .

It is a super-2 number, since 2×105644916² = 22321696553294112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14266 + ... + 20366.

It is an arithmetic number, because the mean of its divisors is an integer number (4102917).

Almost surely, 2^105644916 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 105644916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147705012).

105644916 is an abundant number, since it is smaller than the sum of its proper divisors (189765108).

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

105644916 is a wasteful number, since it uses less digits than its factorization.

105644916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105644916 is about 10278.3712717531. The cubic root of 105644916 is about 472.7333054591.

The spelling of 105644916 in words is "one hundred five million, six hundred forty-four thousand, nine hundred sixteen".