103899929593600 has 648 divisors, whose sum is σ = 312336656862048. Its totient is φ = 34054955827200.

The previous prime is 103899929593591. The next prime is 103899929593601. The reversal of 103899929593600 is 6395929998301.

It is a super-2 number, since 2×103899929593600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103899929593601) 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 71 ways as a sum of consecutive naturals, for example, 19308662910 + ... + 19308668290.

It is an arithmetic number, because the mean of its divisors is an integer number (482001013676).

Almost surely, 2^{103899929593600} is an apocalyptic number.

103899929593600 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 103899929593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156168328431024).

103899929593600 is an abundant number, since it is smaller than the sum of its proper divisors (208436727268448).

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

103899929593600 is a wasteful number, since it uses less digits than its factorization.

103899929593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 255091680, while the sum is 73.

The spelling of 103899929593600 in words is "one hundred three trillion, eight hundred ninety-nine billion, nine hundred twenty-nine million, five hundred ninety-three thousand, six hundred".