103811339096064 has 624 divisors, whose sum is σ = 320073852466368. Its totient is φ = 32305575886848.

The previous prime is 103811339096039. The next prime is 103811339096093. The reversal of 103811339096064 is 460690933118301.

103811339096064 is a `hidden beast` number, since 1 + 0 + 381 + 1 + 33 + 90 + 96 + 0 + 64 = 666.

103811339096064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103811339096064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43673258844 + ... + 43673261220.

It is an arithmetic number, because the mean of its divisors is an integer number (512938866132).

Almost surely, 2^{103811339096064} 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 103811339096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160036926233184).

103811339096064 is an abundant number, since it is smaller than the sum of its proper divisors (216262513370304).

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

103811339096064 is a wasteful number, since it uses less digits than its factorization.

103811339096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 103811339096064 in words is "one hundred three trillion, eight hundred eleven billion, three hundred thirty-nine million, ninety-six thousand, sixty-four".