105201 has 6 divisors (see below), whose sum is σ = 151970. Its totient is φ = 70128.

The previous prime is 105199. The next prime is 105211. The reversal of 105201 is 102501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 225 = 324^2 + 15^2 .

It is not a de Polignac number, because 105201 - 2¹ = 105199 is a prime.

It is a super-2 number, since 2×105201² = 22134500802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11689 = 105201 / (1 + 0 + 5 + 2 + 0 + 1).

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5836 + ... + 5853.

2¹⁰⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

105201 is a deficient number, since it is larger than the sum of its proper divisors (46769).

105201 is a wasteful number, since it uses less digits than its factorization.

105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11695 (or 11692 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105201 is about 324.3470363669. The cubic root of 105201 is about 47.2070239954.

Adding to 105201 its reverse (102501), we get a palindrome (207702).

The spelling of 105201 in words is "one hundred five thousand, two hundred one".