85788105 has 32 divisors (see below), whose sum is σ = 148732416. Its totient is φ = 41973504.

The previous prime is 85788071. The next prime is 85788133. The reversal of 85788105 is 50188758.

It is not a de Polignac number, because 85788105 - 2¹⁰ = 85787081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32464 + ... + 35006.

It is an arithmetic number, because the mean of its divisors is an integer number (4647888).

Almost surely, 2^85788105 is an apocalyptic number.

It is an amenable number.

85788105 is a deficient number, since it is larger than the sum of its proper divisors (62944311).

85788105 is a wasteful number, since it uses less digits than its factorization.

85788105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737.

The product of its (nonzero) digits is 89600, while the sum is 42.

The square root of 85788105 is about 9262.1868368113. The cubic root of 85788105 is about 441.0376765544.

The spelling of 85788105 in words is "eighty-five million, seven hundred eighty-eight thousand, one hundred five".