103948921440 has 576 divisors, whose sum is σ = 445522896000. Its totient is φ = 21930725376.

The previous prime is 103948921399. The next prime is 103948921459. The reversal of 103948921440 is 44129849301.

103948921440 is a `hidden beast` number, since 1 + 0 + 394 + 8 + 9 + 214 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6412866 + ... + 6429054.

It is an arithmetic number, because the mean of its divisors is an integer number (773477250).

Almost surely, 2^103948921440 is an apocalyptic number.

103948921440 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 103948921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222761448000).

103948921440 is an abundant number, since it is smaller than the sum of its proper divisors (341573974560).

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

103948921440 is a wasteful number, since it uses less digits than its factorization.

103948921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16219 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103948921440 in words is "one hundred three billion, nine hundred forty-eight million, nine hundred twenty-one thousand, four hundred forty".