105573 has 8 divisors (see below), whose sum is σ = 151648. Its totient is φ = 64944.

The previous prime is 105563. The next prime is 105601. The reversal of 105573 is 375501.

It is a happy number.

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

It is not a de Polignac number, because 105573 - 2⁴ = 105557 is a prime.

It is a super-2 number, since 2×105573² = 22291316658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105503) 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, 1315 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (18956).

2¹⁰⁵⁵⁷³ is an apocalyptic number.

105573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105573 is a deficient number, since it is larger than the sum of its proper divisors (46075).

105573 is a wasteful number, since it uses less digits than its factorization.

105573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 105573 is about 324.9199901514. The cubic root of 105573 is about 47.2626012694.

It can be divided in two parts, 1055 and 73, that added together give a triangular number (1128 = T₄₇).

The spelling of 105573 in words is "one hundred five thousand, five hundred seventy-three".