85890105 has 64 divisors (see below), whose sum is σ = 176494080. Its totient is φ = 38817792.

The previous prime is 85890053. The next prime is 85890109. The reversal of 85890105 is 50109858.

It is not a de Polignac number, because 85890105 - 2⁶ = 85890041 is a prime.

It is a super-2 number, since 2×85890105² = 14754220273822050, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85890105.

It is not an unprimeable number, because it can be changed into a prime (85890109) 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 63 ways as a sum of consecutive naturals, for example, 91197 + ... + 92133.

It is an arithmetic number, because the mean of its divisors is an integer number (2757720).

Almost surely, 2^85890105 is an apocalyptic number.

It is an amenable number.

85890105 is an abundant number, since it is smaller than the sum of its proper divisors (90603975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85890105 is a wasteful number, since it uses less digits than its factorization.

85890105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 85890105 is about 9267.6914601210. The cubic root of 85890105 is about 441.2124017324.

The spelling of 85890105 in words is "eighty-five million, eight hundred ninety thousand, one hundred five".