106501 has 2 divisors, whose sum is σ = 106502. Its totient is φ = 106500.

The previous prime is 106487. The next prime is 106531. The reversal of 106501 is 105601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 225 = 326^2 + 15^2 .

It is an emirp because it is prime and its reverse (105601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106501 - 2⁷ = 106373 is a prime.

It is a super-2 number, since 2×106501² = 22684926002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53250 + 53251.

It is an arithmetic number, because the mean of its divisors is an integer number (53251).

2¹⁰⁶⁵⁰¹ is an apocalyptic number.

It is an amenable number.

106501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106501 is an equidigital number, since it uses as much as digits as its factorization.

106501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 106501 is about 326.3449095666. The cubic root of 106501 is about 47.4006788938.

Subtracting from 106501 its reverse (105601), we obtain a square (900 = 30²).

The spelling of 106501 in words is "one hundred six thousand, five hundred one".