10305145305 has 96 divisors (see below), whose sum is σ = 22047427584. Its totient is φ = 4336063488.

The previous prime is 10305145247. The next prime is 10305145307. The reversal of 10305145305 is 50354150301.

10305145305 is a `hidden beast` number, since 10 + 305 + 1 + 45 + 305 = 666.

It is not a de Polignac number, because 10305145305 - 2¹³ = 10305137113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10305145307) 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, 1499437 + ... + 1506293.

It is an arithmetic number, because the mean of its divisors is an integer number (229660704).

Almost surely, 2^10305145305 is an apocalyptic number.

10305145305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10305145305 is an abundant number, since it is smaller than the sum of its proper divisors (11742282279).

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

10305145305 is a wasteful number, since it uses less digits than its factorization.

10305145305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 10305145305 its reverse (50354150301), we get a palindrome (60659295606).

The spelling of 10305145305 in words is "ten billion, three hundred five million, one hundred forty-five thousand, three hundred five".