105560 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 32256.

The previous prime is 105557. The next prime is 105563. The reversal of 105560 is 65501.

It is an interprime number because it is at equal distance from previous prime (105557) and next prime (105563).

It is a super-2 number, since 2×105560² = 22285827200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563) 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, 3626 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2¹⁰⁵⁵⁶⁰ is an apocalyptic number.

105560 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 105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

105560 is an abundant number, since it is smaller than the sum of its proper divisors (196840).

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

105560 is a wasteful number, since it uses less digits than its factorization.

105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105560 is about 324.8999846106. The cubic root of 105560 is about 47.2606612562.

The spelling of 105560 in words is "one hundred five thousand, five hundred sixty".