809949105 has 64 divisors (see below), whose sum is σ = 1742446080. Its totient is φ = 348475392.

The previous prime is 809949103. The next prime is 809949187. The reversal of 809949105 is 501949908.

809949105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 809949105 - 2¹ = 809949103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (809949103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9144 + ... + 41273.

It is an arithmetic number, because the mean of its divisors is an integer number (27225720).

Almost surely, 2^809949105 is an apocalyptic number.

809949105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

809949105 is an abundant number, since it is smaller than the sum of its proper divisors (932496975).

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

809949105 is a wasteful number, since it uses less digits than its factorization.

809949105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50455 (or 50449 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 809949105 is about 28459.6047934612. The cubic root of 809949105 is about 932.1502275996.

The spelling of 809949105 in words is "eight hundred nine million, nine hundred forty-nine thousand, one hundred five".