103346530560 has 1152 divisors, whose sum is σ = 478166492160. Its totient is φ = 20511719424.

The previous prime is 103346530531. The next prime is 103346530603. The reversal of 103346530560 is 65035643301.

103346530560 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 65 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 53463354 + ... + 53465286.

It is an arithmetic number, because the mean of its divisors is an integer number (415075080).

Almost surely, 2^103346530560 is an apocalyptic number.

103346530560 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 103346530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239083246080).

103346530560 is an abundant number, since it is smaller than the sum of its proper divisors (374819961600).

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

103346530560 is a wasteful number, since it uses less digits than its factorization.

103346530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 103346530560 in words is "one hundred three billion, three hundred forty-six million, five hundred thirty thousand, five hundred sixty".