103713126004125 has 96 divisors (see below), whose sum is σ = 208931128189056. Its totient is φ = 49058684640000.

The previous prime is 103713126004073. The next prime is 103713126004157. The reversal of 103713126004125 is 521400621317301.

103713126004125 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 1 + 3 + 1 + 2 + 600 + 41 + 2 + 5 = 666.

It is not a de Polignac number, because 103713126004125 - 2²⁸ = 103712857568669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103713126004125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101698219 + ... + 102712968.

It is an arithmetic number, because the mean of its divisors is an integer number (2176365918636).

Almost surely, 2^{103713126004125} is an apocalyptic number.

103713126004125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103713126004125 is an abundant number, since it is smaller than the sum of its proper divisors (105218002184931).

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

103713126004125 is a wasteful number, since it uses less digits than its factorization.

103713126004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204411260 (or 204411247 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 103713126004125 in words is "one hundred three trillion, seven hundred thirteen billion, one hundred twenty-six million, four thousand, one hundred twenty-five".