105195944 has 48 divisors (see below), whose sum is σ = 231804180. Its totient is φ = 44620800.

The previous prime is 105195941. The next prime is 105195971. The reversal of 105195944 is 449591501.

It can be written as a sum of positive squares in 2 ways, for example, as 91431844 + 13764100 = 9562^2 + 3710^2 .

It is a super-2 number, since 2×105195944² = 22132373268102272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105195898 and 105195907.

It is not an unprimeable number, because it can be changed into a prime (105195941) 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 11 ways as a sum of consecutive naturals, for example, 38264 + ... + 40920.

Almost surely, 2^105195944 is an apocalyptic number.

105195944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105195944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115902090).

105195944 is an abundant number, since it is smaller than the sum of its proper divisors (126608236).

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

105195944 is a wasteful number, since it uses less digits than its factorization.

105195944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 105195944 is about 10256.5073977451. The cubic root of 105195944 is about 472.0626772077.

The spelling of 105195944 in words is "one hundred five million, one hundred ninety-five thousand, nine hundred forty-four".