103404314424120 has 128 divisors (see below), whose sum is σ = 311516150400000. Its totient is φ = 27458853696000.

The previous prime is 103404314424119. The next prime is 103404314424121. The reversal of 103404314424120 is 21424413404301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103404314424119) and next prime (103404314424121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103404314424121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29808031 + ... + 33095729.

It is an arithmetic number, because the mean of its divisors is an integer number (2433719925000).

Almost surely, 2^{103404314424120} is an apocalyptic number.

103404314424120 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 103404314424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155758075200000).

103404314424120 is an abundant number, since it is smaller than the sum of its proper divisors (208111835975880).

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

103404314424120 is a wasteful number, since it uses less digits than its factorization.

103404314424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288813 (or 3288809 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 103404314424120 its reverse (21424413404301), we get a palindrome (124828727828421).

The spelling of 103404314424120 in words is "one hundred three trillion, four hundred four billion, three hundred fourteen million, four hundred twenty-four thousand, one hundred twenty".