105834882 has 32 divisors (see below), whose sum is σ = 217147392. Its totient is φ = 34372304.

The previous prime is 105834871. The next prime is 105834893. The reversal of 105834882 is 288438501.

It is an interprime number because it is at equal distance from previous prime (105834871) and next prime (105834893).

It is a super-2 number, since 2×105834882² = 22402044495907848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105834882.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73453 + ... + 74879.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2^105834882 is an apocalyptic number.

105834882 is an abundant number, since it is smaller than the sum of its proper divisors (111312510).

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

105834882 is a wasteful number, since it uses less digits than its factorization.

105834882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 105834882 is about 10287.6081768310. The cubic root of 105834882 is about 473.0164851440.

The spelling of 105834882 in words is "one hundred five million, eight hundred thirty-four thousand, eight hundred eighty-two".