902105385 has 32 divisors (see below), whose sum is σ = 1479582720. Its totient is φ = 469092288.

The previous prime is 902105359. The next prime is 902105387. The reversal of 902105385 is 583501209.

It is not a de Polignac number, because 902105385 - 2¹⁹ = 901581097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (902105387) 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 31 ways as a sum of consecutive naturals, for example, 540322 + ... + 541988.

It is an arithmetic number, because the mean of its divisors is an integer number (46236960).

Almost surely, 2^902105385 is an apocalyptic number.

It is an amenable number.

902105385 is a deficient number, since it is larger than the sum of its proper divisors (577477335).

902105385 is a wasteful number, since it uses less digits than its factorization.

902105385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 902105385 is about 30035.0692524589. The cubic root of 902105385 is about 966.2416601096.

The spelling of 902105385 in words is "nine hundred two million, one hundred five thousand, three hundred eighty-five".