106801 has 2 divisors, whose sum is σ = 106802. Its totient is φ = 106800.

The previous prime is 106787. The next prime is 106823. The reversal of 106801 is 108601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 30625 = 276^2 + 175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106801 is a prime.

It is a super-2 number, since 2×106801² = 22812907202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53400 + 53401.

It is an arithmetic number, because the mean of its divisors is an integer number (53401).

2¹⁰⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

106801 is a deficient number, since it is larger than the sum of its proper divisors (1).

106801 is an equidigital number, since it uses as much as digits as its factorization.

106801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 106801 is about 326.8042227389. The cubic root of 106801 is about 47.4451444304.

The spelling of 106801 in words is "one hundred six thousand, eight hundred one".