103628048544 has 240 divisors, whose sum is σ = 321607661760. Its totient is φ = 32667909120.

The previous prime is 103628048477. The next prime is 103628048569. The reversal of 103628048544 is 445840826301.

103628048544 is a `hidden beast` number, since 1 + 0 + 3 + 62 + 8 + 0 + 48 + 544 = 666.

It is a super-3 number, since 3×103628048544³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103628048544.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5296059 + ... + 5315589.

It is an arithmetic number, because the mean of its divisors is an integer number (1340031924).

Almost surely, 2^103628048544 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 103628048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160803830880).

103628048544 is an abundant number, since it is smaller than the sum of its proper divisors (217979613216).

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

103628048544 is a wasteful number, since it uses less digits than its factorization.

103628048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 103628048544 in words is "one hundred three billion, six hundred twenty-eight million, forty-eight thousand, five hundred forty-four".