105560352 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 32832000.

The previous prime is 105560321. The next prime is 105560369. The reversal of 105560352 is 253065501.

105560352 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 603 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105560352² = 22285975828727808, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 552577 + ... + 552767.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^105560352 is an apocalyptic number.

105560352 is a gapful number since it is divisible by the number (12) 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 105560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

105560352 is an abundant number, since it is smaller than the sum of its proper divisors (215225568).

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

105560352 is a wasteful number, since it uses less digits than its factorization.

105560352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105560352 is about 10274.2567614402. The cubic root of 105560352 is about 472.6071378785.

The spelling of 105560352 in words is "one hundred five million, five hundred sixty thousand, three hundred fifty-two".