103387486371840 has 2640 divisors, whose sum is σ = 426285636598080. Its totient is φ = 23838185226240.

The previous prime is 103387486371781. The next prime is 103387486371877. The reversal of 103387486371840 is 48173684783301.

103387486371840 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 8 + 7 + 486 + 3 + 71 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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 175 ways as a sum of consecutive naturals, for example, 1543096811487 + ... + 1543096811553.

Almost surely, 2^{103387486371840} is an apocalyptic number.

103387486371840 is a gapful number since it is divisible by the number (10) 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 103387486371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213142818299040).

103387486371840 is an abundant number, since it is smaller than the sum of its proper divisors (322898150226240).

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

103387486371840 is an frugal number, since it uses more digits than its factorization.

103387486371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 103387486371840 in words is "one hundred three trillion, three hundred eighty-seven billion, four hundred eighty-six million, three hundred seventy-one thousand, eight hundred forty".