105618 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 33936.

The previous prime is 105613. The next prime is 105619. The reversal of 105618 is 816501.

It is a super-2 number, since 2×105618² = 22310323848, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 105594 and 105603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105613) by changing a digit.

105618 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁰⁵⁶¹⁸ is an apocalyptic number.

105618 is an abundant number, since it is smaller than the sum of its proper divisors (113262).

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

105618 is a wasteful number, since it uses less digits than its factorization.

105618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105618 is about 324.9892305908. The cubic root of 105618 is about 47.2693154701.

The spelling of 105618 in words is "one hundred five thousand, six hundred eighteen".