68101 has 8 divisors (see below), whose sum is σ = 76608. Its totient is φ = 60000.

The previous prime is 68099. The next prime is 68111. The reversal of 68101 is 10186.

68101 = 19² + 20² + ... + 59².

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

It is a 3-Lehmer number, since φ(68101) divides (68101-1)³.

It is a cyclic number.

It is not a de Polignac number, because 68101 - 2¹ = 68099 is a prime.

It is a deceptive number, since it divides R₆₈₁₀₀.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68111) 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 in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

It is a Poulet number, since it divides 2⁶⁸¹⁰⁰-1.

2⁶⁸¹⁰¹ is an apocalyptic number.

68101 is the 151-st octagonal number.

It is an amenable number.

68101 is a deficient number, since it is larger than the sum of its proper divisors (8507).

68101 is a wasteful number, since it uses less digits than its factorization.

68101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

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

The square root of 68101 is about 260.9616830111. The cubic root of 68101 is about 40.8367492168.

Adding to 68101 its reverse (10186), we get a palindrome (78287).

It can be divided in two parts, 68 and 101, that added together give a square (169 = 13²).

The spelling of 68101 in words is "sixty-eight thousand, one hundred one".