103942404800 has 168 divisors, whose sum is σ = 284324218752. Its totient is φ = 37140480000.

The previous prime is 103942404791. The next prime is 103942404809. The reversal of 103942404800 is 8404249301.

It is a Cunningham number, because it is equal to 322401²-1.

It is an interprime number because it is at equal distance from previous prime (103942404791) and next prime (103942404809).

It is not an unprimeable number, because it can be changed into a prime (103942404809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564200 + ... + 725400.

It is an arithmetic number, because the mean of its divisors is an integer number (1692406064).

Almost surely, 2^103942404800 is an apocalyptic number.

103942404800 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 103942404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142162109376).

103942404800 is an abundant number, since it is smaller than the sum of its proper divisors (180381813952).

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

103942404800 is a wasteful number, since it uses less digits than its factorization.

103942404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161267 (or 161252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 103942404800 in words is "one hundred three billion, nine hundred forty-two million, four hundred four thousand, eight hundred".