105812082 has 80 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 33802272.

The previous prime is 105812071. The next prime is 105812089. The reversal of 105812082 is 280218501.

105812082 is a `hidden beast` number, since 1 + 0 + 581 + 2 + 0 + 82 = 666.

It is a super-2 number, since 2×105812082² = 22392393394349448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105812089) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761169 + ... + 761307.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^105812082 is an apocalyptic number.

It is a pronic number, being equal to 10286×10287.

It is a practical number, because each smaller number is the sum of distinct divisors of 105812082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123594240).

105812082 is an abundant number, since it is smaller than the sum of its proper divisors (141376398).

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

105812082 is a wasteful number, since it uses less digits than its factorization.

105812082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105812082 is about 10286.4999878482. The cubic root of 105812082 is about 472.9825154036.

The spelling of 105812082 in words is "one hundred five million, eight hundred twelve thousand, eighty-two".