10306842 has 64 divisors (see below), whose sum is σ = 26019840. Its totient is φ = 2649024.

The previous prime is 10306817. The next prime is 10306859. The reversal of 10306842 is 24860301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23259 + ... + 23697.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 2^10306842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009920).

10306842 is an abundant number, since it is smaller than the sum of its proper divisors (15712998).

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

10306842 is a wasteful number, since it uses less digits than its factorization.

10306842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10306842 is about 3210.4270743937. The cubic root of 10306842 is about 217.6248774227.

The spelling of 10306842 in words is "ten million, three hundred six thousand, eight hundred forty-two".