4735102905 has 96 divisors (see below), whose sum is σ = 9661317120. Its totient is φ = 2123089920.

The previous prime is 4735102903. The next prime is 4735102909. The reversal of 4735102905 is 5092015374.

4735102905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4735102905 - 2¹ = 4735102903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4735102905.

It is not an unprimeable number, because it can be changed into a prime (4735102903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300616 + ... + 315974.

It is an arithmetic number, because the mean of its divisors is an integer number (100638720).

Almost surely, 2^4735102905 is an apocalyptic number.

4735102905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4735102905 is an abundant number, since it is smaller than the sum of its proper divisors (4926214215).

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

4735102905 is a wasteful number, since it uses less digits than its factorization.

4735102905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15431 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4735102905 is about 68812.0840041922. The cubic root of 4735102905 is about 1679.2285414200.

The spelling of 4735102905 in words is "four billion, seven hundred thirty-five million, one hundred two thousand, nine hundred five".