105960 has 32 divisors (see below), whose sum is σ = 318240. Its totient is φ = 28224.

The previous prime is 105953. The next prime is 105967. The reversal of 105960 is 69501.

105960 = T₆ + T₇ + ... + T₈₅.

It is an interprime number because it is at equal distance from previous prime (105953) and next prime (105967).

It is a super-2 number, since 2×105960² = 22455043200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

2¹⁰⁵⁹⁶⁰ is an apocalyptic number.

105960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105960 is an abundant number, since it is smaller than the sum of its proper divisors (212280).

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

105960 is a wasteful number, since it uses less digits than its factorization.

105960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105960 is about 325.5149766140. The cubic root of 105960 is about 47.3202811771.

The spelling of 105960 in words is "one hundred five thousand, nine hundred sixty".