103806323712000 has 4480 divisors, whose sum is σ = 504985544743680. Its totient is φ = 20588160614400.

The previous prime is 103806323711903. The next prime is 103806323712011. The reversal of 103806323712000 is 217323608301.

103806323712000 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 632 + 3 + 7 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 128314367596 + ... + 128314368404.

It is an arithmetic number, because the mean of its divisors is an integer number (112719987666).

Almost surely, 2^{103806323712000} is an apocalyptic number.

103806323712000 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 103806323712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252492772371840).

103806323712000 is an abundant number, since it is smaller than the sum of its proper divisors (401179221031680).

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

103806323712000 is an equidigital number, since it uses as much as digits as its factorization.

103806323712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 103806323712000 in words is "one hundred three trillion, eight hundred six billion, three hundred twenty-three million, seven hundred twelve thousand".