10225676307 has 96 divisors (see below), whose sum is σ = 18447114240. Its totient is φ = 4891691520.

The previous prime is 10225676303. The next prime is 10225676311. The reversal of 10225676307 is 70367652201.

10225676307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10225676303) and next prime (10225676311).

It is not a de Polignac number, because 10225676307 - 2² = 10225676303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10225676303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3136044 + ... + 3139302.

It is an arithmetic number, because the mean of its divisors is an integer number (192157440).

Almost surely, 2^10225676307 is an apocalyptic number.

10225676307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10225676307 is a deficient number, since it is larger than the sum of its proper divisors (8221437933).

10225676307 is a wasteful number, since it uses less digits than its factorization.

10225676307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 10225676307 in words is "ten billion, two hundred twenty-five million, six hundred seventy-six thousand, three hundred seven".