10306058814345 has 192 divisors, whose sum is σ = 20725404215040. Its totient is φ = 4344079122432.

The previous prime is 10306058814323. The next prime is 10306058814377. The reversal of 10306058814345 is 54341885060301.

10306058814345 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 10306058814345 - 2⁵ = 10306058814313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10306058814294 and 10306058814303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215977209 + ... + 216024921.

It is an arithmetic number, because the mean of its divisors is an integer number (107944813620).

Almost surely, 2^{10306058814345} is an apocalyptic number.

10306058814345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10306058814345 is an abundant number, since it is smaller than the sum of its proper divisors (10419345400695).

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

10306058814345 is a wasteful number, since it uses less digits than its factorization.

10306058814345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48104 (or 48097 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 10306058814345 in words is "ten trillion, three hundred six billion, fifty-eight million, eight hundred fourteen thousand, three hundred forty-five".