105703 has 8 divisors (see below), whose sum is σ = 116928. Its totient is φ = 94944.

The previous prime is 105701. The next prime is 105727. The reversal of 105703 is 307501.

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

It is a cyclic number.

It is not a de Polignac number, because 105703 - 2¹ = 105701 is a prime.

It is a super-2 number, since 2×105703² = 22346248418, which contains 22 as substring.

It is a Duffinian number.

105703 is a lucky number.

It is a zygodrome in base 2.

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 105703.

It is not an unprimeable number, because it can be changed into a prime (105701) 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 7 ways as a sum of consecutive naturals, for example, 525 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2¹⁰⁵⁷⁰³ is an apocalyptic number.

105703 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105703 is a deficient number, since it is larger than the sum of its proper divisors (11225).

105703 is a wasteful number, since it uses less digits than its factorization.

105703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 105703 is about 325.1199778543. The cubic root of 105703 is about 47.2819926478.

It can be divided in two parts, 105 and 703, that added together give a palindrome (808).

The spelling of 105703 in words is "one hundred five thousand, seven hundred three".