10852842 has 96 divisors (see below), whose sum is σ = 29514240. Its totient is φ = 2583360.

The previous prime is 10852841. The next prime is 10852843. The reversal of 10852842 is 24825801.

It is an interprime number because it is at equal distance from previous prime (10852841) and next prime (10852843).

It is not an unprimeable number, because it can be changed into a prime (10852841) 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 47 ways as a sum of consecutive naturals, for example, 78009 + ... + 78147.

It is an arithmetic number, because the mean of its divisors is an integer number (307440).

Almost surely, 2^10852842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10852842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120).

10852842 is an abundant number, since it is smaller than the sum of its proper divisors (18661398).

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

10852842 is a wasteful number, since it uses less digits than its factorization.

10852842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10852842 is about 3294.3651892284. The cubic root of 10852842 is about 221.4018065068.

The spelling of 10852842 in words is "ten million, eight hundred fifty-two thousand, eight hundred forty-two".