85083056100 has 405 divisors, whose sum is σ = 321529594617. Its totient is φ = 19405552320.

The previous prime is 85083056059. The next prime is 85083056117. The reversal of 85083056100 is 165038058.

The square root of 85083056100 is 291690.

It is a perfect power (a square), and thus also a powerful number.

85083056100 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 30 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30629900196 + 54453155904 = 175014^2 + 233352^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 183764469 + ... + 183764931.

Almost surely, 2^85083056100 is an apocalyptic number.

85083056100 is the 291690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85083056100

85083056100 is an abundant number, since it is smaller than the sum of its proper divisors (236446538517).

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

85083056100 is a wasteful number, since it uses less digits than its factorization.

85083056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 85083056100 by its sum of digits (36), we get a square (3062990019600 = 1750140²).

85083056100 divided by its sum of digits (36) gives a square (2363418225 = 48615²).

The spelling of 85083056100 in words is "eighty-five billion, eighty-three million, fifty-six thousand, one hundred".