103347355680 has 336 divisors, whose sum is σ = 378705219480. Its totient is φ = 26608103424.

The previous prime is 103347355667. The next prime is 103347355717. The reversal of 103347355680 is 86553743301.

103347355680 is a `hidden beast` number, since 10 + 3 + 3 + 4 + 7 + 3 + 556 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68478515856 + 34868839824 = 261684^2 + 186732^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3367284 + ... + 3397836.

Almost surely, 2^103347355680 is an apocalyptic number.

103347355680 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 103347355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189352609740).

103347355680 is an abundant number, since it is smaller than the sum of its proper divisors (275357863800).

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

103347355680 is an equidigital number, since it uses as much as digits as its factorization.

103347355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30615 (or 30592 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 103347355680 in words is "one hundred three billion, three hundred forty-seven million, three hundred fifty-five thousand, six hundred eighty".