103443686348800 has 1152 divisors, whose sum is σ = 322276347993600. Its totient is φ = 32107281776640.

The previous prime is 103443686348773. The next prime is 103443686348819. The reversal of 103443686348800 is 8843686344301.

It is a super-2 number, since 2×103443686348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54244197447 + ... + 54244199353.

It is an arithmetic number, because the mean of its divisors is an integer number (279753774300).

Almost surely, 2^{103443686348800} is an apocalyptic number.

103443686348800 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 103443686348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161138173996800).

103443686348800 is an abundant number, since it is smaller than the sum of its proper divisors (218832661644800).

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

103443686348800 is a wasteful number, since it uses less digits than its factorization.

103443686348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 58.

The spelling of 103443686348800 in words is "one hundred three trillion, four hundred forty-three billion, six hundred eighty-six million, three hundred forty-eight thousand, eight hundred".