103980305520 has 1440 divisors, whose sum is σ = 471011853312. Its totient is φ = 20047233024.

The previous prime is 103980305489. The next prime is 103980305549. The reversal of 103980305520 is 25503089301.

103980305520 is a `hidden beast` number, since 10 + 3 + 98 + 0 + 3 + 0 + 552 + 0 = 666.

103980305520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 622636477 + ... + 622636643.

Almost surely, 2^103980305520 is an apocalyptic number.

103980305520 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 103980305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235505926656).

103980305520 is an abundant number, since it is smaller than the sum of its proper divisors (367031547792).

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

103980305520 is a wasteful number, since it uses less digits than its factorization.

103980305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 103980305520 in words is "one hundred three billion, nine hundred eighty million, three hundred five thousand, five hundred twenty".