105044706 has 48 divisors (see below), whose sum is σ = 251105400. Its totient is φ = 31530240.

The previous prime is 105044669. The next prime is 105044707. The reversal of 105044706 is 607440501.

It can be written as a sum of positive squares in 4 ways, for example, as 17715681 + 87329025 = 4209^2 + 9345^2 .

It is a super-2 number, since 2×105044706² = 22068780517252872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105044706.

It is not an unprimeable number, because it can be changed into a prime (105044707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4120 + ... + 15068.

Almost surely, 2^105044706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105044706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125552700).

105044706 is an abundant number, since it is smaller than the sum of its proper divisors (146060694).

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

105044706 is a wasteful number, since it uses less digits than its factorization.

105044706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105044706 is about 10249.1319632445. The cubic root of 105044706 is about 471.8363438415.

The spelling of 105044706 in words is "one hundred five million, forty-four thousand, seven hundred six".