105560560 has 80 divisors (see below), whose sum is σ = 281981952. Its totient is φ = 36000000.

The previous prime is 105560537. The next prime is 105560563. The reversal of 105560560 is 65065501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105560560² = 22286063655027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140185 + ... + 140935.

Almost surely, 2^105560560 is an apocalyptic number.

105560560 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 105560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140990976).

105560560 is an abundant number, since it is smaller than the sum of its proper divisors (176421392).

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

105560560 is a wasteful number, since it uses less digits than its factorization.

105560560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105560560 is about 10274.2668838219. The cubic root of 105560560 is about 472.6074482925.

The spelling of 105560560 in words is "one hundred five million, five hundred sixty thousand, five hundred sixty".