105505344 has 168 divisors, whose sum is σ = 349959168. Its totient is φ = 29767680.

The previous prime is 105505339. The next prime is 105505391. The reversal of 105505344 is 443505501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105505344² = 22262755225116672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552289 + ... + 552479.

Almost surely, 2^105505344 is an apocalyptic number.

105505344 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 105505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174979584).

105505344 is an abundant number, since it is smaller than the sum of its proper divisors (244453824).

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

105505344 is a wasteful number, since it uses less digits than its factorization.

105505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105505344 is about 10271.5794306426. The cubic root of 105505344 is about 472.5250310079.

The spelling of 105505344 in words is "one hundred five million, five hundred five thousand, three hundred forty-four".