105556044 has 72 divisors (see below), whose sum is σ = 273192640. Its totient is φ = 31695840.

The previous prime is 105556037. The next prime is 105556049. The reversal of 105556044 is 440655501.

It is a super-2 number, since 2×105556044² = 22284156849859872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105556049) by changing a digit.

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, 201567 + ... + 202089.

Almost surely, 2^105556044 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 105556044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136596320).

105556044 is an abundant number, since it is smaller than the sum of its proper divisors (167636596).

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

105556044 is a wasteful number, since it uses less digits than its factorization.

105556044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 105556044 is about 10274.0471090997. The cubic root of 105556044 is about 472.6007086362.

The spelling of 105556044 in words is "one hundred five million, five hundred fifty-six thousand, forty-four".