10305918 has 48 divisors (see below), whose sum is σ = 25698816. Its totient is φ = 2923920.

The previous prime is 10305913. The next prime is 10305929. The reversal of 10305918 is 81950301.

It is a junction number, because it is equal to n+sod(n) for n = 10305891 and 10305900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305913) 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 23 ways as a sum of consecutive naturals, for example, 32983 + ... + 33293.

It is an arithmetic number, because the mean of its divisors is an integer number (535392).

Almost surely, 2^10305918 is an apocalyptic number.

10305918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849408).

10305918 is an abundant number, since it is smaller than the sum of its proper divisors (15392898).

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

10305918 is a wasteful number, since it uses less digits than its factorization.

10305918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10305918 is about 3210.2831650806. The cubic root of 10305918 is about 217.6183739306.

The spelling of 10305918 in words is "ten million, three hundred five thousand, nine hundred eighteen".