680101 has 4 divisors (see below), whose sum is σ = 681804. Its totient is φ = 678400.

The previous prime is 680083. The next prime is 680107. The reversal of 680101 is 101086.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101086 = 2 ⋅50543.

It can be written as a sum of positive squares in 2 ways, for example, as 540225 + 139876 = 735^2 + 374^2 .

It is a cyclic number.

It is not a de Polignac number, because 680101 - 2¹⁵ = 647333 is a prime.

It is a Duffinian number.

680101 is a modest number, since divided by 101 gives 68 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (170451).

2⁶⁸⁰¹⁰¹ is an apocalyptic number.

It is an amenable number.

680101 is a deficient number, since it is larger than the sum of its proper divisors (1703).

680101 is a wasteful number, since it uses less digits than its factorization.

680101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702.

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

The square root of 680101 is about 824.6823630950. The cubic root of 680101 is about 87.9409469511.

Adding to 680101 its reverse (101086), we get a palindrome (781187).

The spelling of 680101 in words is "six hundred eighty thousand, one hundred one".