806107104 has 144 divisors (see below), whose sum is σ = 2548479024. Its totient is φ = 239616000.

The previous prime is 806107103. The next prime is 806107117. The reversal of 806107104 is 401701608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806107103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165504 + ... + 170304.

It is an arithmetic number, because the mean of its divisors is an integer number (17697771).

Almost surely, 2^806107104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274239512).

806107104 is an abundant number, since it is smaller than the sum of its proper divisors (1742371920).

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

806107104 is a wasteful number, since it uses less digits than its factorization.

806107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 806107104 is about 28392.0253592448. The cubic root of 806107104 is about 930.6740032572.

The spelling of 806107104 in words is "eight hundred six million, one hundred seven thousand, one hundred four".