103834529568 has 1080 divisors, whose sum is σ = 406399229964. Its totient is φ = 25035816960.

The previous prime is 103834529563. The next prime is 103834529597. The reversal of 103834529568 is 865925438301.

103834529568 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 345 + 295 + 6 + 8 = 666.

103834529568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100445892624 + 3388636944 = 316932^2 + 58212^2 .

It is not an unprimeable number, because it can be changed into a prime (103834529563) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1422390780 + ... + 1422390852.

Almost surely, 2^103834529568 is an apocalyptic number.

103834529568 is a gapful number since it is divisible by the number (18) 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 103834529568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203199614982).

103834529568 is an abundant number, since it is smaller than the sum of its proper divisors (302564700396).

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

103834529568 is a wasteful number, since it uses less digits than its factorization.

103834529568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 103834529568 in words is "one hundred three billion, eight hundred thirty-four million, five hundred twenty-nine thousand, five hundred sixty-eight".