103501048320 has 480 divisors, whose sum is σ = 393635930688. Its totient is φ = 25974079488.

The previous prime is 103501048307. The next prime is 103501048327. The reversal of 103501048320 is 23840105301.

It is a happy number.

103501048320 is a `hidden beast` number, since 103 + 50 + 10 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103501048327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10570467 + ... + 10580253.

Almost surely, 2^103501048320 is an apocalyptic number.

103501048320 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 103501048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196817965344).

103501048320 is an abundant number, since it is smaller than the sum of its proper divisors (290134882368).

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

103501048320 is an frugal number, since it uses more digits than its factorization.

103501048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 103501048320 in words is "one hundred three billion, five hundred one million, forty-eight thousand, three hundred twenty".