103393355520 has 864 divisors, whose sum is σ = 423723750912. Its totient is φ = 21285863424.

The previous prime is 103393355503. The next prime is 103393355521. The reversal of 103393355520 is 25553393301.

It is a super-2 number, since 2×103393355520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103393355521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105180949 + ... + 105181931.

It is an arithmetic number, because the mean of its divisors is an integer number (490421008).

Almost surely, 2^103393355520 is an apocalyptic number.

103393355520 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 103393355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211861875456).

103393355520 is an abundant number, since it is smaller than the sum of its proper divisors (320330395392).

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

103393355520 is a wasteful number, since it uses less digits than its factorization.

103393355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 39.

The spelling of 103393355520 in words is "one hundred three billion, three hundred ninety-three million, three hundred fifty-five thousand, five hundred twenty".