103534023040 has 128 divisors (see below), whose sum is σ = 283003732800. Its totient is φ = 35480567808.

The previous prime is 103534023013. The next prime is 103534023079. The reversal of 103534023040 is 40320435301.

103534023040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 103534022996 and 103534023014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12795316 + ... + 12803404.

Almost surely, 2^103534023040 is an apocalyptic number.

103534023040 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 103534023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141501866400).

103534023040 is an abundant number, since it is smaller than the sum of its proper divisors (179469709760).

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

103534023040 is an equidigital number, since it uses as much as digits as its factorization.

103534023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 103534023040 its reverse (40320435301), we get a palindrome (143854458341).

The spelling of 103534023040 in words is "one hundred three billion, five hundred thirty-four million, twenty-three thousand, forty".