105055560 has 96 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 26538624.

The previous prime is 105055547. The next prime is 105055583. The reversal of 105055560 is 65550501.

105055560 is a `hidden beast` number, since 1 + 0 + 50 + 55 + 560 = 666.

It is a super-2 number, since 2×105055560² = 22073341373827200, 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, 840 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (3744000).

Almost surely, 2^105055560 is an apocalyptic number.

105055560 is a gapful number since it is divisible by the number (10) 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 105055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

105055560 is an abundant number, since it is smaller than the sum of its proper divisors (254368440).

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

105055560 is a wasteful number, since it uses less digits than its factorization.

105055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15395 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 105055560 is about 10249.6614578239. The cubic root of 105055560 is about 471.8525944948.

The spelling of 105055560 in words is "one hundred five million, fifty-five thousand, five hundred sixty".