85105101 has 8 divisors (see below), whose sum is σ = 114130080. Its totient is φ = 56408432.

The previous prime is 85105099. The next prime is 85105103. The reversal of 85105101 is 10150158.

It is an interprime number because it is at equal distance from previous prime (85105099) and next prime (85105103).

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

It is a cyclic number.

It is not a de Polignac number, because 85105101 - 2¹ = 85105099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85105103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81471 + ... + 82508.

It is an arithmetic number, because the mean of its divisors is an integer number (14266260).

Almost surely, 2^85105101 is an apocalyptic number.

It is an amenable number.

85105101 is a deficient number, since it is larger than the sum of its proper divisors (29024979).

85105101 is a wasteful number, since it uses less digits than its factorization.

85105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164155.

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 85105101 is about 9225.2425984361. The cubic root of 85105101 is about 439.8641126519.

Adding to 85105101 its reverse (10150158), we get a palindrome (95255259).

The spelling of 85105101 in words is "eighty-five million, one hundred five thousand, one hundred one".