103718083951872 has 432 divisors, whose sum is σ = 338387398614720. Its totient is φ = 31311100993536.

The previous prime is 103718083951861. The next prime is 103718083951891. The reversal of 103718083951872 is 278159380817301.

103718083951872 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 1 + 80 + 8 + 39 + 518 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61073143 + ... + 62748425.

It is an arithmetic number, because the mean of its divisors is an integer number (783304163460).

Almost surely, 2^{103718083951872} is an apocalyptic number.

103718083951872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103718083951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169193699307360).

103718083951872 is an abundant number, since it is smaller than the sum of its proper divisors (234669314662848).

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

103718083951872 is a wasteful number, since it uses less digits than its factorization.

103718083951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675387 (or 1675354 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 103718083951872 in words is "one hundred three trillion, seven hundred eighteen billion, eighty-three million, nine hundred fifty-one thousand, eight hundred seventy-two".