1020382305 has 16 divisors (see below), whose sum is σ = 1633528320. Its totient is φ = 543898368.

The previous prime is 1020382291. The next prime is 1020382309. The reversal of 1020382305 is 5032830201.

1020382305 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 1020382305 - 2¹² = 1020378209 is a prime.

It is a super-2 number, since 2×1020382305² = 2082360096714226050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020382309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9936 + ... + 46254.

It is an arithmetic number, because the mean of its divisors is an integer number (102095520).

Almost surely, 2^1020382305 is an apocalyptic number.

1020382305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020382305 is a deficient number, since it is larger than the sum of its proper divisors (613146015).

1020382305 is a wasteful number, since it uses less digits than its factorization.

1020382305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38200.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1020382305 is about 31943.4235015598. The cubic root of 1020382305 is about 1006.7484575421.

The spelling of 1020382305 in words is "one billion, twenty million, three hundred eighty-two thousand, three hundred five".