105965944 has 16 divisors (see below), whose sum is σ = 227070000. Its totient is φ = 45413952.

The previous prime is 105965941. The next prime is 105965957. The reversal of 105965944 is 449569501.

It is a super-2 number, since 2×105965944² = 22457562575622272, 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 105965944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105965941) 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 3 ways as a sum of consecutive naturals, for example, 946069 + ... + 946180.

It is an arithmetic number, because the mean of its divisors is an integer number (14191875).

Almost surely, 2^105965944 is an apocalyptic number.

105965944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105965944 is an abundant number, since it is smaller than the sum of its proper divisors (121104056).

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

105965944 is a wasteful number, since it uses less digits than its factorization.

105965944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892262 (or 1892258 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 105965944 is about 10293.9761025563. The cubic root of 105965944 is about 473.2116599687.

The spelling of 105965944 in words is "one hundred five million, nine hundred sixty-five thousand, nine hundred forty-four".