103757868408975 has 48 divisors (see below), whose sum is σ = 187245376909824. Its totient is φ = 50278911840000.

The previous prime is 103757868408973. The next prime is 103757868409021. The reversal of 103757868408975 is 579804868757301.

It is not a de Polignac number, because 103757868408975 - 2¹ = 103757868408973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103757868408975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103757868408973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33430087 + ... + 36401736.

It is an arithmetic number, because the mean of its divisors is an integer number (3900945352288).

Almost surely, 2^{103757868408975} is an apocalyptic number.

103757868408975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103757868408975 is a deficient number, since it is larger than the sum of its proper divisors (83487508500849).

103757868408975 is a wasteful number, since it uses less digits than its factorization.

103757868408975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69833648 (or 69833643 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 78.

The spelling of 103757868408975 in words is "one hundred three trillion, seven hundred fifty-seven billion, eight hundred sixty-eight million, four hundred eight thousand, nine hundred seventy-five".