106601 has 6 divisors (see below), whose sum is σ = 117306. Its totient is φ = 96800.

The previous prime is 106591. The next prime is 106619.

106601 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 30976 = 275^2 + 176^2 .

It is not a de Polignac number, because 106601 - 2⁶ = 106537 is a prime.

It is a super-2 number, since 2×106601² = 22727546402, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106621) 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 in 5 ways as a sum of consecutive naturals, for example, 320 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2¹⁰⁶⁶⁰¹ is an apocalyptic number.

106601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106601 is a deficient number, since it is larger than the sum of its proper divisors (10705).

106601 is an equidigital number, since it uses as much as digits as its factorization.

106601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 106601 is about 326.4980857524. The cubic root of 106601 is about 47.4155100068.

It can be divided in two parts, 106 and 601, that added together give a palindrome (707).

The spelling of 106601 in words is "one hundred six thousand, six hundred one".