85105024 has 64 divisors (see below), whose sum is σ = 177908400. Its totient is φ = 40499200.

The previous prime is 85105019. The next prime is 85105049. The reversal of 85105024 is 42050158.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×85105024² = 14485730220081152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85105024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374799 + ... + 375025.

Almost surely, 2^85105024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88954200).

85105024 is an abundant number, since it is smaller than the sum of its proper divisors (92803376).

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

85105024 is a wasteful number, since it uses less digits than its factorization.

85105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 85105024 is about 9225.2384251032. The cubic root of 85105024 is about 439.8639799942.

The spelling of 85105024 in words is "eighty-five million, one hundred five thousand, twenty-four".