103343265327744 has 1280 divisors, whose sum is σ = 358164918988800. Its totient is φ = 29306746183680.

The previous prime is 103343265327737. The next prime is 103343265327791. The reversal of 103343265327744 is 447723562343301.

103343265327744 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 32 + 6 + 532 + 7 + 74 + 4 = 666.

It is a super-2 number, since 2×103343265327744² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29842119357 + ... + 29842122819.

It is an arithmetic number, because the mean of its divisors is an integer number (279816342960).

Almost surely, 2^{103343265327744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103343265327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179082459494400).

103343265327744 is an abundant number, since it is smaller than the sum of its proper divisors (254821653661056).

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

103343265327744 is a wasteful number, since it uses less digits than its factorization.

103343265327744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 54.

The spelling of 103343265327744 in words is "one hundred three trillion, three hundred forty-three billion, two hundred sixty-five million, three hundred twenty-seven thousand, seven hundred forty-four".