82105056 has 192 divisors, whose sum is σ = 267805440. Its totient is φ = 24261120.

The previous prime is 82105043. The next prime is 82105091. The reversal of 82105056 is 65050128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 503631 + ... + 503793.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 2^82105056 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 82105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

82105056 is an abundant number, since it is smaller than the sum of its proper divisors (185700384).

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

82105056 is a wasteful number, since it uses less digits than its factorization.

82105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 82105056 is about 9061.1840285914. The cubic root of 82105056 is about 434.6336034837.

The spelling of 82105056 in words is "eighty-two million, one hundred five thousand, fifty-six".