103434114024 has 128 divisors (see below), whose sum is σ = 289529856000. Its totient is φ = 34213406400.

The previous prime is 103434114011. The next prime is 103434114031. The reversal of 103434114024 is 420411434301.

103434114024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18108529 + ... + 18114239.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952000).

Almost surely, 2^103434114024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103434114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928000).

103434114024 is an abundant number, since it is smaller than the sum of its proper divisors (186095741976).

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

103434114024 is a wasteful number, since it uses less digits than its factorization.

103434114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6346 counting only the distinct ones).

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

Adding to 103434114024 its reverse (420411434301), we get a palindrome (523845548325).

The spelling of 103434114024 in words is "one hundred three billion, four hundred thirty-four million, one hundred fourteen thousand, twenty-four".