85101 has 8 divisors (see below), whose sum is σ = 119520. Its totient is φ = 53712.

The previous prime is 85093. The next prime is 85103. The reversal of 85101 is 10158.

It is a happy number.

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

It is not a de Polignac number, because 85101 - 2³ = 85093 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85101.

It is not an unprimeable number, because it can be changed into a prime (85103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (14940).

2⁸⁵¹⁰¹ is an apocalyptic number.

85101 is the 185-th centered pentagonal number.

It is an amenable number.

85101 is a deficient number, since it is larger than the sum of its proper divisors (34419).

85101 is a wasteful number, since it uses less digits than its factorization.

85101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 85101 is about 291.7207568892. The cubic root of 85101 is about 43.9857047225.

Adding to 85101 its reverse (10158), we get a palindrome (95259).

The spelling of 85101 in words is "eighty-five thousand, one hundred one".