105660 has 36 divisors (see below), whose sum is σ = 321048. Its totient is φ = 28128.

The previous prime is 105653. The next prime is 105667. The reversal of 105660 is 66501.

105660 is a `hidden beast` number, since 1 + 0 + 5 + 660 = 666.

It is an interprime number because it is at equal distance from previous prime (105653) and next prime (105667).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105660² = 22328071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2¹⁰⁵⁶⁶⁰ is an apocalyptic number.

105660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105660 is an abundant number, since it is smaller than the sum of its proper divisors (215388).

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

105660 is a wasteful number, since it uses less digits than its factorization.

105660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105660 is about 325.0538416940. The cubic root of 105660 is about 47.2755803370.

The spelling of 105660 in words is "one hundred five thousand, six hundred sixty".