10275027345 has 96 divisors (see below), whose sum is σ = 20340523008. Its totient is φ = 4752720000.

The previous prime is 10275027293. The next prime is 10275027353. The reversal of 10275027345 is 54372057201.

10275027345 is a `hidden beast` number, since 102 + 7 + 502 + 7 + 3 + 45 = 666.

10275027345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10275027345 - 2⁸ = 10275027089 is a prime.

It is a super-3 number, since 3×10275027345³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084780 + ... + 1094210.

It is an arithmetic number, because the mean of its divisors is an integer number (211880448).

Almost surely, 2^10275027345 is an apocalyptic number.

10275027345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10275027345 is a deficient number, since it is larger than the sum of its proper divisors (10065495663).

10275027345 is a wasteful number, since it uses less digits than its factorization.

10275027345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 10275027345 in words is "ten billion, two hundred seventy-five million, twenty-seven thousand, three hundred forty-five".