103361295648 has 192 divisors, whose sum is σ = 320947522560. Its totient is φ = 28819473408.

The previous prime is 103361295581. The next prime is 103361295677. The reversal of 103361295648 is 846592163301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 103361295597 and 103361295606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450615 + ... + 640137.

It is an arithmetic number, because the mean of its divisors is an integer number (1671601680).

Almost surely, 2^103361295648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103361295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160473761280).

103361295648 is an abundant number, since it is smaller than the sum of its proper divisors (217586226912).

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

103361295648 is a wasteful number, since it uses less digits than its factorization.

103361295648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189591 (or 189583 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 103361295648 in words is "one hundred three billion, three hundred sixty-one million, two hundred ninety-five thousand, six hundred forty-eight".