85190101 has 2 divisors, whose sum is σ = 85190102. Its totient is φ = 85190100.

The previous prime is 85190093. The next prime is 85190107. The reversal of 85190101 is 10109158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55487601 + 29702500 = 7449^2 + 5450^2 .

It is a cyclic number.

It is not a de Polignac number, because 85190101 - 2³ = 85190093 is a prime.

It is a super-3 number, since 3×85190101³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85190107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42595050 + 42595051.

It is an arithmetic number, because the mean of its divisors is an integer number (42595051).

Almost surely, 2^85190101 is an apocalyptic number.

It is an amenable number.

85190101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85190101 is an equidigital number, since it uses as much as digits as its factorization.

85190101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 25.

The square root of 85190101 is about 9229.8483736191. The cubic root of 85190101 is about 440.0105042258.

Adding to 85190101 its reverse (10109158), we get a palindrome (95299259).

The spelling of 85190101 in words is "eighty-five million, one hundred ninety thousand, one hundred one".