105560260 has 48 divisors (see below), whose sum is σ = 245203056. Its totient is φ = 37919232.

The previous prime is 105560237. The next prime is 105560269. The reversal of 105560260 is 62065501.

It can be written as a sum of positive squares in 8 ways, for example, as 5184 + 105555076 = 72^2 + 10274^2 .

It is a super-3 number, since 3×105560260³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105560269) 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, 4134 + ... + 15106.

It is an arithmetic number, because the mean of its divisors is an integer number (5108397).

Almost surely, 2^105560260 is an apocalyptic number.

105560260 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 105560260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122601528).

105560260 is an abundant number, since it is smaller than the sum of its proper divisors (139642796).

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

105560260 is a wasteful number, since it uses less digits than its factorization.

105560260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105560260 is about 10274.2522842297. The cubic root of 105560260 is about 472.6070005799.

The spelling of 105560260 in words is "one hundred five million, five hundred sixty thousand, two hundred sixty".