103325808104064 has 1536 divisors, whose sum is σ = 386983064832000. Its totient is φ = 26716375203840.

The previous prime is 103325808104063. The next prime is 103325808104149. The reversal of 103325808104064 is 460401808523301.

103325808104064 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 580 + 8 + 1 + 0 + 4 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (103325808104063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65437496427 + ... + 65437498005.

It is an arithmetic number, because the mean of its divisors is an integer number (251942099500).

Almost surely, 2^{103325808104064} is an apocalyptic number.

103325808104064 is a gapful number since it is divisible by the number (14) 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 103325808104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193491532416000).

103325808104064 is an abundant number, since it is smaller than the sum of its proper divisors (283657256727936).

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

103325808104064 is a wasteful number, since it uses less digits than its factorization.

103325808104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 103325808104064 in words is "one hundred three trillion, three hundred twenty-five billion, eight hundred eight million, one hundred four thousand, sixty-four".