105121 has 4 divisors (see below), whose sum is σ = 108544. Its totient is φ = 101700.

The previous prime is 105107. The next prime is 105137. The reversal of 105121 is 121501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105121 - 2¹⁵ = 72353 is a prime.

It is a super-2 number, since 2×105121² = 22100849282, which contains 22 as substring.

It is a Duffinian number.

105121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 105098 and 105107.

It is not an unprimeable number, because it can be changed into a prime (102121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1665 + ... + 1726.

It is an arithmetic number, because the mean of its divisors is an integer number (27136).

2¹⁰⁵¹²¹ is an apocalyptic number.

It is an amenable number.

105121 is a deficient number, since it is larger than the sum of its proper divisors (3423).

105121 is an equidigital number, since it uses as much as digits as its factorization.

105121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422.

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

The square root of 105121 is about 324.2236882154. The cubic root of 105121 is about 47.1950547821.

Subtracting from 105121 its sum of digits (10), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105121 its reverse (121501), we get a palindrome (226622).

The spelling of 105121 in words is "one hundred five thousand, one hundred twenty-one".