103201441434 has 192 divisors, whose sum is σ = 281945664000. Its totient is φ = 27108926208.

The previous prime is 103201441433. The next prime is 103201441451. The reversal of 103201441434 is 434144102301.

103201441434 is a `hidden beast` number, since 10 + 3 + 201 + 4 + 414 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103201441398 and 103201441407.

It is not an unprimeable number, because it can be changed into a prime (103201441433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21106462 + ... + 21111350.

It is an arithmetic number, because the mean of its divisors is an integer number (1468467000).

Almost surely, 2^103201441434 is an apocalyptic number.

103201441434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140972832000).

103201441434 is an abundant number, since it is smaller than the sum of its proper divisors (178744222566).

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

103201441434 is a wasteful number, since it uses less digits than its factorization.

103201441434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103201441434 its reverse (434144102301), we get a palindrome (537345543735).

The spelling of 103201441434 in words is "one hundred three billion, two hundred one million, four hundred forty-one thousand, four hundred thirty-four".