103383431756352 has 336 divisors, whose sum is σ = 337823432251200. Its totient is φ = 30976303564800.

The previous prime is 103383431756329. The next prime is 103383431756359. The reversal of 103383431756352 is 253657134383301.

103383431756352 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 83 + 43 + 175 + 6 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103383431756359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15831027 + ... + 21386637.

It is an arithmetic number, because the mean of its divisors is an integer number (1005426881700).

Almost surely, 2^{103383431756352} is an apocalyptic number.

103383431756352 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 103383431756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168911716125600).

103383431756352 is an abundant number, since it is smaller than the sum of its proper divisors (234440000494848).

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

103383431756352 is a wasteful number, since it uses less digits than its factorization.

103383431756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555743 (or 5555716 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 103383431756352 in words is "one hundred three trillion, three hundred eighty-three billion, four hundred thirty-one million, seven hundred fifty-six thousand, three hundred fifty-two".