107863167825 has 144 divisors (see below), whose sum is σ = 234206009856. Its totient is φ = 46324224000.

The previous prime is 107863167779. The next prime is 107863167851. The reversal of 107863167825 is 528761368701.

It is a happy number.

It is not a de Polignac number, because 107863167825 - 2⁸ = 107863167569 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 16088424 + ... + 16095126.

It is an arithmetic number, because the mean of its divisors is an integer number (1626430624).

Almost surely, 2^107863167825 is an apocalyptic number.

107863167825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107863167825 is an abundant number, since it is smaller than the sum of its proper divisors (126342842031).

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

107863167825 is a wasteful number, since it uses less digits than its factorization.

107863167825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 107863167825 in words is "one hundred seven billion, eight hundred sixty-three million, one hundred sixty-seven thousand, eight hundred twenty-five".