105122 has 4 divisors (see below), whose sum is σ = 157686. Its totient is φ = 52560.

The previous prime is 105107. The next prime is 105137. The reversal of 105122 is 221501.

105122 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 221501 = 7 ⋅31643.

It is an interprime number because it is at equal distance from previous prime (105107) and next prime (105137).

It can be written as a sum of positive squares in only one way, i.e., 72361 + 32761 = 269^2 + 181^2 .

It is a super-2 number, since 2×105122² = 22101269768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26279 + ... + 26282.

2¹⁰⁵¹²² is an apocalyptic number.

105122 is a deficient number, since it is larger than the sum of its proper divisors (52564).

105122 is an equidigital number, since it uses as much as digits as its factorization.

105122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52563.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105122 is about 324.2252303569. The cubic root of 105122 is about 47.1952044347.

Subtracting from 105122 its sum of digits (11), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105122 its reverse (221501), we get a palindrome (326623).

The spelling of 105122 in words is "one hundred five thousand, one hundred twenty-two".