106301 has 12 divisors (see below), whose sum is σ = 125172. Its totient is φ = 89856.

The previous prime is 106297. The next prime is 106303. The reversal of 106301 is 103601.

106301 = 51² + 52² + ... + 76².

It can be written as a sum of positive squares in 6 ways, for example, as 25 + 106276 = 5^2 + 326^2 .

It is not a de Polignac number, because 106301 - 2² = 106297 is a prime.

It is a super-2 number, since 2×106301² = 22599805202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2855 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (10431).

2¹⁰⁶³⁰¹ is an apocalyptic number.

It is an amenable number.

106301 is a deficient number, since it is larger than the sum of its proper divisors (18871).

106301 is a wasteful number, since it uses less digits than its factorization.

106301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 106301 is about 326.0383413036. The cubic root of 106301 is about 47.3709887930.

Adding to 106301 its reverse (103601), we get a palindrome (209902).

The spelling of 106301 in words is "one hundred six thousand, three hundred one".