103803355934208 has 1080 divisors, whose sum is σ = 363813641334000. Its totient is φ = 29499754217472.

The previous prime is 103803355934167. The next prime is 103803355934209. The reversal of 103803355934208 is 802439553308301.

103803355934208 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 3 + 3 + 5 + 593 + 42 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103803355934209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32755869648 + ... + 32755872816.

Almost surely, 2^{103803355934208} is an apocalyptic number.

103803355934208 is a gapful number since it is divisible by the number (18) 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 103803355934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181906820667000).

103803355934208 is an abundant number, since it is smaller than the sum of its proper divisors (260010285399792).

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

103803355934208 is an frugal number, since it uses more digits than its factorization.

103803355934208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 103803355934208 in words is "one hundred three trillion, eight hundred three billion, three hundred fifty-five million, nine hundred thirty-four thousand, two hundred eight".