85556416105 has 8 divisors (see below), whose sum is σ = 106207965000. Its totient is φ = 66084955776.

The previous prime is 85556416093. The next prime is 85556416177. The reversal of 85556416105 is 50161465558.

It can be written as a sum of positive squares in 4 ways, for example, as 35907218064 + 49649198041 = 189492^2 + 222821^2 .

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 85556416105 - 2⁷ = 85556415977 is a prime.

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, 295021980 + ... + 295022269.

It is an arithmetic number, because the mean of its divisors is an integer number (13275995625).

Almost surely, 2^85556416105 is an apocalyptic number.

It is an amenable number.

85556416105 is a deficient number, since it is larger than the sum of its proper divisors (20651548895).

85556416105 is a wasteful number, since it uses less digits than its factorization.

85556416105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590044283.

The product of its (nonzero) digits is 720000, while the sum is 46.

The spelling of 85556416105 in words is "eighty-five billion, five hundred fifty-six million, four hundred sixteen thousand, one hundred five".