105145 has 8 divisors (see below), whose sum is σ = 133704. Its totient is φ = 79104.

The previous prime is 105143. The next prime is 105167. The reversal of 105145 is 541501.

105145 = 98² + 99² + ... + 107².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 71289 = 184^2 + 267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105145 - 2¹ = 105143 is a prime.

It is a super-2 number, since 2×105145² = 22110942050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (16713).

2¹⁰⁵¹⁴⁵ is an apocalyptic number.

It is an amenable number.

105145 is a deficient number, since it is larger than the sum of its proper divisors (28559).

105145 is a wasteful number, since it uses less digits than its factorization.

105145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105145 is about 324.2606975876. The cubic root of 105145 is about 47.1986461835.

Adding to 105145 its reverse (541501), we get a palindrome (646646).

It can be divided in two parts, 105 and 145, that multiplied together give a triangular number (15225 = T₁₇₄).

The spelling of 105145 in words is "one hundred five thousand, one hundred forty-five".