101205 has 24 divisors (see below), whose sum is σ = 190008. Its totient is φ = 49536.

The previous prime is 101203. The next prime is 101207. The reversal of 101205 is 502101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101203) and next prime (101207).

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 88209 = 114^2 + 297^2 .

It is not a de Polignac number, because 101205 - 2¹ = 101203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2¹⁰¹²⁰⁵ is an apocalyptic number.

101205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101205 is a deficient number, since it is larger than the sum of its proper divisors (88803).

101205 is a wasteful number, since it uses less digits than its factorization.

101205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

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

The square root of 101205 is about 318.1273329973. The cubic root of 101205 is about 46.6015816050.

Adding to 101205 its reverse (502101), we get a palindrome (603306).

The spelling of 101205 in words is "one hundred one thousand, two hundred five".