103948427520 has 1440 divisors, whose sum is σ = 451118976000. Its totient is φ = 22824861696.

The previous prime is 103948427507. The next prime is 103948427521. The reversal of 103948427520 is 25724849301.

103948427520 is a `hidden beast` number, since 10 + 3 + 94 + 8 + 4 + 27 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (103948427521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1315802841 + ... + 1315802919.

Almost surely, 2^103948427520 is an apocalyptic number.

103948427520 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 103948427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225559488000).

103948427520 is an abundant number, since it is smaller than the sum of its proper divisors (347170548480).

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

103948427520 is an frugal number, since it uses more digits than its factorization.

103948427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103948427520 in words is "one hundred three billion, nine hundred forty-eight million, four hundred twenty-seven thousand, five hundred twenty".