103796211791200 has 288 divisors, whose sum is σ = 259641031910400. Its totient is φ = 40504192235520.

The previous prime is 103796211791197. The next prime is 103796211791201. The reversal of 103796211791200 is 2197112697301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103796211791201) 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 47 ways as a sum of consecutive naturals, for example, 5747607771 + ... + 5747625829.

It is an arithmetic number, because the mean of its divisors is an integer number (901531360800).

Almost surely, 2^{103796211791200} is an apocalyptic number.

103796211791200 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 103796211791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129820515955200).

103796211791200 is an abundant number, since it is smaller than the sum of its proper divisors (155844820119200).

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

103796211791200 is a wasteful number, since it uses less digits than its factorization.

103796211791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18894 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 49.

The spelling of 103796211791200 in words is "one hundred three trillion, seven hundred ninety-six billion, two hundred eleven million, seven hundred ninety-one thousand, two hundred".