103715487648 has 72 divisors (see below), whose sum is σ = 295064628768. Its totient is φ = 34557328512.

The previous prime is 103715487637. The next prime is 103715487649. The reversal of 103715487648 is 846784517301.

103715487648 is a `hidden beast` number, since 1 + 0 + 37 + 1 + 548 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 103715487594 and 103715487603.

It is not an unprimeable number, because it can be changed into a prime (103715487649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623511 + ... + 772137.

It is an arithmetic number, because the mean of its divisors is an integer number (4098119844).

Almost surely, 2^103715487648 is an apocalyptic number.

103715487648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103715487648 is an abundant number, since it is smaller than the sum of its proper divisors (191349141120).

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

103715487648 is a wasteful number, since it uses less digits than its factorization.

103715487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151066 (or 151055 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 103715487648 in words is "one hundred three billion, seven hundred fifteen million, four hundred eighty-seven thousand, six hundred forty-eight".