105662 has 8 divisors (see below), whose sum is σ = 165456. Its totient is φ = 50512.

The previous prime is 105653. The next prime is 105667. The reversal of 105662 is 266501.

105662 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105662² = 22328916488, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105662.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (20682).

2¹⁰⁵⁶⁶² is an apocalyptic number.

105662 is a deficient number, since it is larger than the sum of its proper divisors (59794).

105662 is a wasteful number, since it uses less digits than its factorization.

105662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105662 is about 325.0569180928. The cubic root of 105662 is about 47.2758786226.

It can be divided in two parts, 105 and 662, that added together give a palindrome (767).

The spelling of 105662 in words is "one hundred five thousand, six hundred sixty-two".