103648787136 has 280 divisors, whose sum is σ = 315423042000. Its totient is φ = 33641588736.

The previous prime is 103648787117. The next prime is 103648787147. The reversal of 103648787136 is 631787846301.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 33336750 + ... + 33339858.

Almost surely, 2^103648787136 is an apocalyptic number.

103648787136 is a gapful number since it is divisible by the number (16) 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 103648787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157711521000).

103648787136 is an abundant number, since it is smaller than the sum of its proper divisors (211774254864).

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

103648787136 is a wasteful number, since it uses less digits than its factorization.

103648787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 103648787136 in words is "one hundred three billion, six hundred forty-eight million, seven hundred eighty-seven thousand, one hundred thirty-six".