105344560 has 40 divisors (see below), whose sum is σ = 248952816. Its totient is φ = 41445120.

The previous prime is 105344537. The next prime is 105344579. The reversal of 105344560 is 65443501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105344560² = 22194952643187200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5914 + ... + 15673.

Almost surely, 2^105344560 is an apocalyptic number.

105344560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344560 is an abundant number, since it is smaller than the sum of its proper divisors (143608256).

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

105344560 is a wasteful number, since it uses less digits than its factorization.

105344560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21661 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105344560 is about 10263.7498020947. The cubic root of 105344560 is about 472.2848754291.

The spelling of 105344560 in words is "one hundred five million, three hundred forty-four thousand, five hundred sixty".