105405944 has 32 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 44988000.

The previous prime is 105405917. The next prime is 105405953. The reversal of 105405944 is 449504501.

It is a super-2 number, since 2×105405944² = 22220826061062272, 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 105405944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10307 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (7087500).

Almost surely, 2^105405944 is an apocalyptic number.

105405944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105405944 is an abundant number, since it is smaller than the sum of its proper divisors (121394056).

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

105405944 is a wasteful number, since it uses less digits than its factorization.

105405944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 105405944 is about 10266.7396967100. The cubic root of 105405944 is about 472.3765906719.

The spelling of 105405944 in words is "one hundred five million, four hundred five thousand, nine hundred forty-four".