105701 has 2 divisors, whose sum is σ = 105702. Its totient is φ = 105700.

The previous prime is 105691. The next prime is 105727. The reversal of 105701 is 107501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 30625 = 274^2 + 175^2 .

It is a cyclic number.

It is not a de Polignac number, because 105701 - 2¹⁰ = 104677 is a prime.

It is a super-2 number, since 2×105701² = 22345402802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

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 105701.

It is not a weakly prime, because it can be changed into another prime (105751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52850 + 52851.

It is an arithmetic number, because the mean of its divisors is an integer number (52851).

2¹⁰⁵⁷⁰¹ is an apocalyptic number.

It is an amenable number.

105701 is a deficient number, since it is larger than the sum of its proper divisors (1).

105701 is an equidigital number, since it uses as much as digits as its factorization.

105701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105701 is about 325.1169020522. The cubic root of 105701 is about 47.2816944393.

The spelling of 105701 in words is "one hundred five thousand, seven hundred one".