103535421400 has 96 divisors (see below), whose sum is σ = 243366120000. Its totient is φ = 40961285120.

The previous prime is 103535421397. The next prime is 103535421413. The reversal of 103535421400 is 4124535301.

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 23 ways as a sum of consecutive naturals, for example, 7114932 + ... + 7129468.

It is an arithmetic number, because the mean of its divisors is an integer number (2535063750).

Almost surely, 2^103535421400 is an apocalyptic number.

103535421400 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 103535421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121683060000).

103535421400 is an abundant number, since it is smaller than the sum of its proper divisors (139830698600).

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

103535421400 is a wasteful number, since it uses less digits than its factorization.

103535421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 103535421400 its reverse (4124535301), we get a palindrome (107659956701).

The spelling of 103535421400 in words is "one hundred three billion, five hundred thirty-five million, four hundred twenty-one thousand, four hundred".