103293284352 has 104 divisors (see below), whose sum is σ = 276727365120. Its totient is φ = 34267054080.

The previous prime is 103293284287. The next prime is 103293284357. The reversal of 103293284352 is 253482392301.

It is a happy number.

103293284352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103293284357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572849 + ... + 2612687.

Almost surely, 2^103293284352 is an apocalyptic number.

103293284352 is a gapful number since it is divisible by the number (12) 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 103293284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138363682560).

103293284352 is an abundant number, since it is smaller than the sum of its proper divisors (173434080768).

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

103293284352 is an equidigital number, since it uses as much as digits as its factorization.

103293284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40077 (or 40055 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 103293284352 in words is "one hundred three billion, two hundred ninety-three million, two hundred eighty-four thousand, three hundred fifty-two".