103958806320000 has 640 divisors, whose sum is σ = 383517085248000. Its totient is φ = 27714306816000.

The previous prime is 103958806319981. The next prime is 103958806320001. The reversal of 103958806320000 is 23608859301.

It is a happy number.

103958806320000 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 8 + 8 + 0 + 632 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×103958806320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103958806320001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13398476121 + ... + 13398483879.

It is an arithmetic number, because the mean of its divisors is an integer number (599245445700).

Almost surely, 2^{103958806320000} is an apocalyptic number.

103958806320000 is a gapful number since it is divisible by the number (10) 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 103958806320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191758542624000).

103958806320000 is an abundant number, since it is smaller than the sum of its proper divisors (279558278928000).

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

103958806320000 is an frugal number, since it uses more digits than its factorization.

103958806320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 13972 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 103958806320000 in words is "one hundred three trillion, nine hundred fifty-eight billion, eight hundred six million, three hundred twenty thousand".