10345042305 has 128 divisors (see below), whose sum is σ = 20490624000. Its totient is φ = 4919408640.

The previous prime is 10345042289. The next prime is 10345042321. The reversal of 10345042305 is 50324054301.

10345042305 is a `hidden beast` number, since 10 + 345 + 0 + 4 + 2 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (10345042289) and next prime (10345042321).

It is not a de Polignac number, because 10345042305 - 2⁴ = 10345042289 is a prime.

It is a super-3 number, since 3×10345042305³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7842436 + ... + 7843754.

It is an arithmetic number, because the mean of its divisors is an integer number (160083000).

Almost surely, 2^10345042305 is an apocalyptic number.

10345042305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10345042305 is a deficient number, since it is larger than the sum of its proper divisors (10145581695).

10345042305 is a wasteful number, since it uses less digits than its factorization.

10345042305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10345042305 its reverse (50324054301), we get a palindrome (60669096606).

The spelling of 10345042305 in words is "ten billion, three hundred forty-five million, forty-two thousand, three hundred five".