105715 has 4 divisors (see below), whose sum is σ = 126864. Its totient is φ = 84568.

The previous prime is 105701. The next prime is 105727. The reversal of 105715 is 517501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105715 - 2⁵ = 105683 is a prime.

It is a super-2 number, since 2×105715² = 22351322450, which contains 22 as substring.

It is a Duffinian number.

105715 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 105692 and 105701.

It is an unprimeable number.

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, 10567 + ... + 10576.

It is an arithmetic number, because the mean of its divisors is an integer number (31716).

2¹⁰⁵⁷¹⁵ is an apocalyptic number.

105715 is a deficient number, since it is larger than the sum of its proper divisors (21149).

105715 is an equidigital number, since it uses as much as digits as its factorization.

105715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21148.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 105715 is about 325.1384320563. The cubic root of 105715 is about 47.2837818194.

It can be divided in two parts, 105 and 715, that added together give a triangular number (820 = T₄₀).

The spelling of 105715 in words is "one hundred five thousand, seven hundred fifteen".