4834082106 has 224 divisors, whose sum is σ = 13264997760. Its totient is φ = 1289945088.

The previous prime is 4834082101. The next prime is 4834082111. The reversal of 4834082106 is 6012804384.

It is an interprime number because it is at equal distance from previous prime (4834082101) and next prime (4834082111).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4834082101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18809530 + ... + 18809786.

It is an arithmetic number, because the mean of its divisors is an integer number (59218740).

Almost surely, 2^4834082106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834082106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632498880).

4834082106 is an abundant number, since it is smaller than the sum of its proper divisors (8430915654).

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

4834082106 is a wasteful number, since it uses less digits than its factorization.

4834082106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4834082106 is about 69527.5636420549. The cubic root of 4834082106 is about 1690.8484128685.

The spelling of 4834082106 in words is "four billion, eight hundred thirty-four million, eighty-two thousand, one hundred six".