103401311420 has 96 divisors (see below), whose sum is σ = 242570764800. Its totient is φ = 36704828160.

The previous prime is 103401311413. The next prime is 103401311437. The reversal of 103401311420 is 24113104301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103401311392 and 103401311401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2298059 + ... + 2342621.

It is an arithmetic number, because the mean of its divisors is an integer number (2526778800).

Almost surely, 2^103401311420 is an apocalyptic number.

103401311420 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 103401311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121285382400).

103401311420 is an abundant number, since it is smaller than the sum of its proper divisors (139169453380).

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

103401311420 is a wasteful number, since it uses less digits than its factorization.

103401311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44835 (or 44833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103401311420 its reverse (24113104301), we get a palindrome (127514415721).

The spelling of 103401311420 in words is "one hundred three billion, four hundred one million, three hundred eleven thousand, four hundred twenty".